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Welcome to the mathematics research hub for papers categorised under MSC 2010 classifications as Functional Analysis. Papers on this page are organised in collections from 46- through 46T, although not all collections may have papers published in that area at this time. Visit the MSC2010 database from MathScinet for a full list of codes.

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46-XX: Functional analysis 46Axx: Topological linear spaces and related structures 46Bxx: Normed linear spaces and Banach spaces; Banach lattices 46Cxx: Inner product spaces and their generalizations, Hilbert spaces 46Exx: Linear function spaces and their duals 46Fxx: Distributions, generalized functions, distribution spaces 46Gxx: Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) 46Hxx: Topological algebras, normed rings and algebras, Banach algebras 46Jxx: Commutative Banach algebras and commutative topological algebras 46Kxx: Topological (rings and) algebras with an involution 46Lxx: Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) 46Mxx: Methods of category theory in functional analysis 46Nxx: Miscellaneous applications of functional analysis 46Sxx: Other (nonclassical) types of functional analysis 46Txx: Nonlinear functional analysis

Functional analysis (46-XX)

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Article
CHEBYSHEV SETS
JAMES FLETCHER, WARREN B. MOORS
Journal of the Australian Mathematical Society, Volume 98, Issue 2

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Topological linear spaces and related structures (46Axx)

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Article
(WEAK) COMPACTNESS CRITERIA IN NONCOMMUTATIVE SYMMETRIC SPACES
YERLAN NESSIPBAYEV
Bulletin of the Australian Mathematical Society, First View

Article
Trace spaces of full free product $C^*$-algebras
Adrian Ioana, Pieter Spaas, Itamar Vigdorovich
Compositio Mathematica, Volume 161, Issue 11

Article
On weaving Hilbert space frames and Riesz bases
Animesh Bhandari
Canadian Mathematical Bulletin, Volume 69, Issue 1

Article
ON EQUIVALENCE RELATIONS INDUCED BY POLISH GROUPS ADMITTING COMPATIBLE TWO-SIDED INVARIANT METRICS
LONGYUN DING, YANG ZHENG
The Journal of Symbolic Logic, First View

Article
Differential embeddings into algebras of topological stable rank 1
Tomasz Kania, Natalia Maślany
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
EVALUATION FUNCTIONS AND REFLEXIVITY OF BANACH SPACES OF HOLOMORPHIC FUNCTIONS
GUANGFU CAO, LI HE, JI LI, SHUQING ZHANG
Journal of the Australian Mathematical Society, Volume 118, Issue 2

Article
THE SET OF ELEMENTARY TENSORS IS WEAKLY CLOSED IN PROJECTIVE TENSOR PRODUCTS
COLIN PETITJEAN
Bulletin of the Australian Mathematical Society, Volume 111, Issue 2

Article
Lipschitz-free spaces and subsets of finite-dimensional spaces
Jan Bíma
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 155, Issue 2

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Normed linear spaces and Banach spaces; Banach lattices (46Bxx)

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Article
(WEAK) COMPACTNESS CRITERIA IN NONCOMMUTATIVE SYMMETRIC SPACES
YERLAN NESSIPBAYEV
Bulletin of the Australian Mathematical Society, First View

Article
On the class of weak U-Dunford–Pettis operators
Adil Driouich, Larbi Zraoula, Bouazza El Wahbi
Canadian Mathematical Bulletin, First View

Article
Regular Dilations on Kreĭn Spaces
Dan Popovici
Canadian Journal of Mathematics, First View

Article
A remark on characterizing inner product spaces via strong three-point homogeneity
Sujit Sakharam Damase, Apoorva Khare
Canadian Mathematical Bulletin, First View

Article
Banach lattices of positively homogeneous functions induced by a Banach space
Niels Jakob Laustsen, Pedro Tradacete
Proceedings of the Edinburgh Mathematical Society, First View

Article
The super Alternative Daugavet property for Banach spaces
Johann Langemets, Marcus Lõo, Miguel Martín, Yoël Perreau, Abraham Rueda Zoca
Proceedings of the Edinburgh Mathematical Society, First View

Article
Study of weaving frames in Krein spaces
Avinash Bhardwaj, Animesh Bhandari
Canadian Mathematical Bulletin, First View

Article
Some characterizations of unbounded Dunford–Pettis operators
Sanaa Boumnidel, Abdelmonaim El Kaddouri, Moulay Othman Aboutafail
Canadian Mathematical Bulletin, First View

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Inner product spaces and their generalizations, Hilbert spaces (46Cxx)

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Linear function spaces and their duals (46Exx)

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Article
RENORMALIZED AND ENTROPY SOLUTIONS TO THE GENERAL NONLINEAR PARABOLIC EQUATIONS IN MUSIELAK–ORLICZ SPACES
YING LI, CHAO ZHANG
Journal of the Australian Mathematical Society, First View

Article
The weak-type (1,1) estimate of the $\mathcal {H}$-harmonic Bergman projection
Kenan Zhang
Canadian Mathematical Bulletin, First View

Article
Grassmannian forms of LXYZ's $L^p$ affine Sobolev inequality chain
Kai He, Ai-Jun Li
Canadian Mathematical Bulletin, First View

Article
On the Hilbert space derived from the Weil distribution
Masatoshi Suzuki
Canadian Journal of Mathematics, First View

Article
Banach lattices of positively homogeneous functions induced by a Banach space
Niels Jakob Laustsen, Pedro Tradacete
Proceedings of the Edinburgh Mathematical Society, First View

Article
A classification of $\mathbb {Q}$-linear maps from $\overline {\mathbb {Q}}^\times /\overline {\mathbb {Q}}^\times _{\mathrm {tors}}$ to $\mathbb {R}$
Charles L. Samuels
Canadian Mathematical Bulletin, First View

Article
ANALYSIS OF THE LAPLACIAN ON A CLASS OF NONDOUBLING CONNECTED SUMS AND MANIFOLDS WITH QUADRATICALLY DECAYING RICCI CURVATURE
DANGYANG HE
Bulletin of the Australian Mathematical Society, Volume 113, Issue 1

Article
A unified topological analysis of variable growth Kirchhoff-type equations
Christopher Goodrich, Gabriel Nakhl
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

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Distributions, generalized functions, distribution spaces (46Fxx)

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Article
Propagation of anisotropic Gabor wave front sets
Patrik Wahlberg
Proceedings of the Edinburgh Mathematical Society, Volume 67, Issue 3

Article
Multiplicity one theorems over positive characteristic
Dor Mezer
Canadian Journal of Mathematics, Volume 75, Issue 3

Article
WEIGHTED BESOV AND TRIEBEL–LIZORKIN SPACES ASSOCIATED WITH OPERATORS AND APPLICATIONS
HUY-QUI BUI, THE ANH BUI, XUAN THINH DUONG
Forum of Mathematics, Sigma, Volume 8

Article
THE DISTRIBUTIONAL $k$-HESSIAN IN FRACTIONAL SOBOLEV SPACES
QIANG TU, WENYI CHEN, XUETING QIU
Bulletin of the Australian Mathematical Society, Volume 101, Issue 3

Article
Distributions as initial values in a triangular hyperbolic system of conservation laws
C. O. R. Sarrico, A. Paiva
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 150, Issue 6

Article
Full and Special Colombeau Algebras
M. Grosser, E. A. Nigsch
Proceedings of the Edinburgh Mathematical Society, Volume 61, Issue 4

Article
A Convenient Notion of Compact Set for Generalized Functions
Paolo Giordano, Michael Kunzinger
Proceedings of the Edinburgh Mathematical Society, Volume 61, Issue 1

Article
HEAT KERNEL METHOD FOR THE LEVI-CIVITÁ EQUATION IN DISTRIBUTIONS AND HYPERFUNCTIONS
JAEYOUNG CHUNG, PRASANNA K. SAHOO
Bulletin of the Australian Mathematical Society, Volume 92, Issue 1

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Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces)

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Article
Minimal oscillation and vanishing of smooth functions
Jean Saint Raymond
Canadian Mathematical Bulletin, Volume 69, Issue 1

Article
The Schur–Agler class in infinitely many variables
Greg Knese
Canadian Mathematical Bulletin, Volume 69, Issue 1

Article
A characterization of the existence of zeros for operators with Lipschitzian derivative and closed range
Biagio Ricceri
Canadian Mathematical Bulletin, Volume 68, Issue 2

Article
On the complete separation of unique $\ell _{1}$ spreading models and the Lebesgue property of Banach spaces
Harrison Gaebler, Pavlos Motakis, Bünyamin Sarı
Canadian Journal of Mathematics, Volume 78, Issue 1

Article
Hilbert direct integrals of monotone operators
Minh N. Bùi, Patrick L. Combettes
Canadian Journal of Mathematics, Volume 77, Issue 4

Article
On traces of Bochner representable operators on the space of bounded measurable functions
Marian Nowak, Juliusz Stochmal
Proceedings of the Edinburgh Mathematical Society, Volume 67, Issue 1

Article
Order continuity of Arens extensions of regular multilinear operators
Geraldo Botelho, Luis Alberto Garcia
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 155, Issue 1

Article
Estimates for generalized Bohr radii in one and higher dimensions
Nilanjan Das
Canadian Mathematical Bulletin, Volume 66, Issue 2

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Topological algebras, normed rings and algebras, Banach algebras (46Hxx)

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Article
Continuity and realization of multiplicative maps between RKHS and their cyclicity preserving properties
Mohana Rahul Nandan, Sukumar Daniel
Canadian Mathematical Bulletin, First View

Article
MULTIPLICATIVE (IN)STABILITY OF BANACH ALGEBRAS
STEFANO FERRI, MATTHIAS NEUFANG
Bulletin of the Australian Mathematical Society, Volume 112, Issue 1

Article
MORE ON RESTRICTED BOUNDARIES
SONJA MOUTON, ROBIN HARTE
Bulletin of the Australian Mathematical Society, Volume 112, Issue 2

Article
Fredholm index of Toeplitz pairs with $H^{\infty }$ symbols
Penghui Wang, Zeyou Zhu
Canadian Mathematical Bulletin, Volume 68, Issue 1

Article
$\mathrm{C}^{*}$-algebras hereditarily containing nonzero, square-zero elements
Massoud Amini, George A. Elliott, Mohammad Rouzbehani
Canadian Mathematical Bulletin, Volume 67, Issue 4

Article
Weak amenability for dual Banach algebras
Amin Mahmoodi
Proceedings of the Edinburgh Mathematical Society, Volume 67, Issue 3

Article
DISCONTINUOUS HOMOMORPHISMS OF $C(X)$ WITH $2^{\aleph _0}>\aleph _2$
BOB A. DUMAS
The Journal of Symbolic Logic, Volume 89, Issue 2

Article
A COUNTEREXAMPLE TO A RESULT OF JABERI AND MAHMOODI
A. SAHAMI, S. F. SHARIATI
Bulletin of the Australian Mathematical Society, Volume 110, Issue 1

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Commutative Banach algebras and commutative topological algebras (46Jxx)

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Article
Determination of period matrix of double of surface with boundary via its DN map
Dmitrii Korikov
Canadian Journal of Mathematics, First View

Article
Differential embeddings into algebras of topological stable rank 1
Tomasz Kania, Natalia Maślany
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
A CALCULATION OF THE PERFECTOIDIZATION OF SEMIPERFECTOID RINGS
RYO ISHIZUKA
Nagoya Mathematical Journal, Volume 255

Article
On the Extension of Bounded Holomorphic Maps from Gleason Parts of the Maximal Ideal Space of $H^\infty $
Alexander Brudnyi
Canadian Mathematical Bulletin, Volume 67, Issue 3

Article
Projective freeness and stable rank of algebras of complex-valued BV functions
Alexander Brudnyi
Canadian Mathematical Bulletin, Volume 66, Issue 3

Article
ON THE ALGEBRAS $\boldsymbol {VN(H)}$ AND $\boldsymbol {VN(H)^{*}} $ OF AN ULTRASPHERICAL HYPERGROUP $\boldsymbol {H}$
REZA ESMAILVANDI, MEHDI NEMATI, NAGESWARAN SHRAVAN KUMAR
Journal of the Australian Mathematical Society, Volume 115, Issue 3

Article
Point Degree Spectra of Represented Spaces
Takayuki Kihara, Arno Pauly
Forum of Mathematics, Sigma, Volume 10

Article
THE BOCHNER–SCHOENBERG-EBERLEIN PROPERTY OF EXTENSIONS OF BANACH ALGEBRAS AND BANACH MODULES
NASRIN ALIZADEH, ALI EBADIAN, SAEID OSTADBASHI, ALI JABBARI
Bulletin of the Australian Mathematical Society, Volume 105, Issue 1

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Topological (rings and) algebras with an involution (46Kxx)

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Article
Operators on Anti-dual pairs: Self-adjoint Extensions and the Strong Parrott Theorem
Zsigmond Tarcsay, Tamás Titkos
Canadian Mathematical Bulletin, Volume 63, Issue 4

Article
HEREDITARILY ANTISYMMETRIC OPERATOR ALGEBRAS
Nik Weaver
Journal of the Institute of Mathematics of Jussieu, Volume 20, Issue 3

Article
Monic representations of finite higher-rank graphs
CARLA FARSI, ELIZABETH GILLASPY, PALLE JORGENSEN, SOORAN KANG, JUDITH PACKER
Ergodic Theory and Dynamical Systems, Volume 40, Issue 5

Article
ON THE ORDER STRUCTURE OF REPRESENTABLE FUNCTIONALS
ZSIGMOND TARCSAY, TAMÁS TITKOS
Glasgow Mathematical Journal, Volume 60, Issue 2

Article
THE NON-COMMUTATIVE SCHWARTZ SPACE IS WEAKLY AMENABLE
KRZYSZTOF PISZCZEK
Glasgow Mathematical Journal, Volume 59, Issue 2

Article
A NOTE ON $(m,n)$-JORDAN DERIVATIONS OF RINGS AND BANACH ALGEBRAS
IRENA KOSI-ULBL, JOSO VUKMAN
Bulletin of the Australian Mathematical Society, Volume 93, Issue 2

Article
LEBESGUE DECOMPOSITION FOR REPRESENTABLE FUNCTIONALS ON *-ALGEBRAS
ZSIGMOND TARCSAY
Glasgow Mathematical Journal, Volume 58, Issue 2

Article
NON-COCOMMUTATIVE C*-BIALGEBRA DEFINED AS THE DIRECT SUM OF FREE GROUP C*-ALGEBRAS
KATSUNORI KAWAMURA
Glasgow Mathematical Journal, Volume 58, Issue 1

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Selfadjoint operator algebras ($C^$-algebras, von Neumann ($W^$-) algebras, etc.) (46Lxx)

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Article
(WEAK) COMPACTNESS CRITERIA IN NONCOMMUTATIVE SYMMETRIC SPACES
YERLAN NESSIPBAYEV
Bulletin of the Australian Mathematical Society, First View

Article
The index of a pair of pure states and the interacting integer quantum Hall effect
Sven Bachmann, Jacob Shapiro, Clément Tauber
Forum of Mathematics, Sigma, Volume 14

Article
Fixed-point permanence under actions by finite quantum groups
Alexandru Chirvăsitu
Canadian Mathematical Bulletin, First View

Article
A PANORAMIC VIEW OF GROUPOIDS AND MRAs
MARIUS IONESCU, PAUL MUHLY
Journal of the Australian Mathematical Society, First View

Article
Quantitative laws of large numbers in noncommutative probability
Junming Cao, Yong Jiao, Sijie Luo, Dejian Zhou
Canadian Journal of Mathematics, First View

Article
DETECTING IDEALS IN REDUCED CROSSED PRODUCT C*-ALGEBRAS OF TOPOLOGICAL DYNAMICAL SYSTEMS
Are Austad, Sven Raum
Journal of the Institute of Mathematics of Jussieu, First View

Article
Support of the Brown measure of a family of free multiplicative Brownian motions with non-negative initial condition
Brian Hall, Sorawit Eaknipitsari
Canadian Journal of Mathematics, First View

Article
Von Neumann orbit equivalence
Ishan Ishan, Aoran Wu
Canadian Journal of Mathematics, First View

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Methods of category theory in functional analysis (46Mxx)

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Article
Inclusions of operator algebras from tensor categories: beyond irreducibility
Lucas Hataishi, Roberto Hernández Palomares
Glasgow Mathematical Journal, First View

Article
Stable finiteness does not imply linear soficity
BE’ERI GREENFELD
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 175, Issue 2

Article
Dilations of Markovian semigroups of measurable Schur multipliers
Cédric Arhancet
Canadian Journal of Mathematics, Volume 76, Issue 3

Article
Projective freeness and stable rank of algebras of complex-valued BV functions
Alexander Brudnyi
Canadian Mathematical Bulletin, Volume 66, Issue 3

Article
The generator rank of subhomogeneous $C^*\!$-algebras
Hannes Thiel
Canadian Journal of Mathematics, Volume 75, Issue 4

Article
Exact structures for operator modules
Martin Mathieu, Michael Rosbotham
Canadian Journal of Mathematics, Volume 75, Issue 2

Article
CENTRE OF BANACH ALGEBRA VALUED BEURLING ALGEBRAS
BHARAT TALWAR, RANJANA JAIN
Bulletin of the Australian Mathematical Society, Volume 105, Issue 3

Article
ON THE STABILITY OF THE DIFFERENTIAL PROCESS GENERATED BY COMPLEX INTERPOLATION
Jesús M. F. Castillo, Willian H. G. Corrêa, Valentin Ferenczi, Manuel González
Journal of the Institute of Mathematics of Jussieu, Volume 21, Issue 1

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Miscellaneous applications of functional analysis (46Nxx)

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Article
Density and unitarity of the Burau representation from a non-semisimple TQFT
Nathan Geer, Aaron Lauda, Bertrand Patureau-Mirand, Joshua Sussan
Canadian Journal of Mathematics, First View

Article
The invariant subspaces of periodic Fourier multipliers with application to abstract evolution equations
Sebastian Król, Jarosław Sarnowski
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Generalized Knill–Laflamme theorem for families of isoclinic subspaces
David W. Kribs, Rajesh Pereira, Mukesh Taank
Canadian Mathematical Bulletin, Volume 68, Issue 3

Article
Complete positivity order and relative entropy decay
Li Gao, Marius Junge, Nicholas LaRacuente, Haojian Li
Forum of Mathematics, Sigma, Volume 13

Article
On a class of bivariate distributions built of q-ultraspherical polynomials
Paweł J. Szabłowski
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Pressure of a dilute spin-polarized Fermi gas: Lower bound
Asbjørn Bækgaard Lauritsen, Robert Seiringer
Forum of Mathematics, Sigma, Volume 12

Article
Co-spectral radius for countable equivalence relations
MIKLÓS ABERT, MIKOLAJ FRACZYK, BENJAMIN HAYES
Ergodic Theory and Dynamical Systems, Volume 44, Issue 12

Article
Coupling capacity in C*-algebras
Adam Skalski, Ivan G. Todorov, Lyudmila Turowska
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 155, Issue 1

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Other (nonclassical) types of functional analysis (46Sxx)

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Article
On the analyticity of WLUD∞ functions of one variable and WLUD∞ functions of several variables in a complete non-Archimedean valued field
Khodr Shamseddine
Proceedings of the Edinburgh Mathematical Society, Volume 65, Issue 3

Article
Lineability, continuity, and antiderivatives in the non-Archimedean setting
J. Khodabandehlou, S. Maghsoudi, J. B. Seoane-Sepúlveda
Canadian Mathematical Bulletin, Volume 64, Issue 3

Article
A NOTE ON p-ADIC SIMPLICIAL VOLUMES
STEFFEN KIONKE, CLARA LÖH
Glasgow Mathematical Journal, Volume 63, Issue 3

Article
DYADIC SHIFT RANDOMIZATION IN CLASSICAL DISCREPANCY THEORY
M. M. Skriganov
Mathematika, Volume 62, Issue 1

Article
SUPERBOSONIZATION VIA RIESZ SUPERDISTRIBUTIONS
ALEXANDER ALLDRIDGE, ZAIN SHAIKH
Forum of Mathematics, Sigma, Volume 2

Article
The Ultrametric Corona Problem and spherically complete fields
Alain Escassut
Proceedings of the Edinburgh Mathematical Society, Volume 53, Issue 2

Article
MEASURES OF NONCOMPACTNESS IN ULTRAPRODUCTS
WIESŁAWA KACZOR, ADAM STACHURA, JUSTYNA WALCZUK, MAGDALENA ZOŁA
Bulletin of the Australian Mathematical Society, Volume 80, Issue 1

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Nonlinear functional analysis (46Txx)

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Article
Minimal oscillation and vanishing of smooth functions
Jean Saint Raymond
Canadian Mathematical Bulletin, Volume 69, Issue 1

Article
A characterization of the existence of zeros for operators with Lipschitzian derivative and closed range
Biagio Ricceri
Canadian Mathematical Bulletin, Volume 68, Issue 2

Article
Measure comparison problems for dilations of convex bodies
Malak Lafi, Artem Zvavitch
Canadian Mathematical Bulletin, Volume 68, Issue 1

Article
Synthetic versus distributional lower Ricci curvature bounds
Michael Kunzinger, Michael Oberguggenberger, James A. Vickers
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 154, Issue 5

Article
The polarization constant of finite dimensional complex spaces is one
VERÓNICA DIMANT, DANIEL GALICER, JORGE TOMÁS RODRÍGUEZ
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 172, Issue 1

Article
A NEW COARSELY RIGID CLASS OF BANACH SPACES
F. Baudier, G. Lancien, P. Motakis, Th. Schlumprecht
Journal of the Institute of Mathematics of Jussieu, Volume 20, Issue 5

Article
On the Coarse Geometry of James Spaces
Gilles Lancien, Colin Petitjean, Antonin Procházka
Canadian Mathematical Bulletin, Volume 63, Issue 1

Article
Domains of accretive operators in Banach spaces
Jesús Garcia-Falset, Omar Muñiz-Pérez, Simeon Reich
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 146, Issue 2

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MSC 2010: Functional analysis

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Functional analysis (46-XX)

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Topological linear spaces and related structures (46Axx)

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Normed linear spaces and Banach spaces; Banach lattices (46Bxx)

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Inner product spaces and their generalizations, Hilbert spaces (46Cxx)

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Linear function spaces and their duals (46Exx)

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Distributions, generalized functions, distribution spaces (46Fxx)

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Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces)

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Topological algebras, normed rings and algebras, Banach algebras (46Hxx)

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Commutative Banach algebras and commutative topological algebras (46Jxx)

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Topological (rings and) algebras with an involution (46Kxx)

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Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) (46Lxx)

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Methods of category theory in functional analysis (46Mxx)

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Miscellaneous applications of functional analysis (46Nxx)

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Other (nonclassical) types of functional analysis (46Sxx)

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Nonlinear functional analysis (46Txx)

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Selfadjoint operator algebras ($C^$-algebras, von Neumann ($W^$-) algebras, etc.) (46Lxx)