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Welcome to the mathematics research hub for papers categorised under MSC 2010 classifications as Operator Theory. Papers on this page are organised in collections from 47- through 47S, 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.

Jump to the following areas

47-XX: Operator theory 47Axx: General theory of linear operators 47Bxx: Special classes of linear operators 47Cxx: Individual linear operators as elements of algebraic systems 47Dxx: Groups and semigroups of linear operators, their generalizations and applications 47Exx: Ordinary differential operators 47Fxx: Partial differential operators 47Gxx: Integral, integro-differential, and pseudodifferential operators 47Hxx: Nonlinear operators and their properties 47Jxx: Equations and inequalities involving nonlinear operators 47Lxx: Linear spaces and algebras of operators 47Nxx: Miscellaneous applications of operator theory 47Sxx: Other (nonclassical) types of operator theory

Operator theory (47-XX)

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General theory of linear operators (47Axx)

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Article
Reducible Markov modulation, pole order, and tail behavior in random growth models
Brendan K. Beare, Alexis Akira Toda
Journal of Applied Probability, First View

Article
Generalized Hilbert matrix operators acting on weighted sequence spaces
Jianjun Jin
Proceedings of the Edinburgh Mathematical Society, First View

Article
Square functions and variational estimates for Ritt operators on $L^1$
JENNIFER HULTS, KARIN REINHOLD LARSSON
Ergodic Theory and Dynamical Systems, Volume 46, Issue 8

Article
Almost commuting self-adjoint operators and measurements
Huaxin Lin
Canadian Mathematical Communications, Volume 1

Article
Weak cluster points of maximizing sequences on Banach spaces satisfying $\boldsymbol {(M_p)}$
David Norrbo
Canadian Mathematical Bulletin, First View

Article
Frequently hypercyclic random vectors for $C_{0}$-semigroups
KEVIN AGNEESSENS
Ergodic Theory and Dynamical Systems, Volume 46, Issue 5

Article
FIXED-ROTATION MINKOWSKI AVERAGING: CLASSIFICATION AND SHARP RATES
YUSHI SUN, BO SUN
Bulletin of the Australian Mathematical Society, Volume 114, Issue 1

Article
Inequalities of the ℓp-operator norm for block matrices
Pintu Bhunia
Canadian Mathematical Bulletin, First View

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Special classes of linear operators (47Bxx)

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Article
A note on the boundary dynamics of holomorphic iterated function systems
ARGYRIOS CHRISTODOULOU
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
Cantor spectrum for multidimensional quasi-periodic Schrödinger operators
Bernard Helffer, Qinghui Liu, Yanhui Qu, Qi Zhou
Forum of Mathematics, Sigma, Volume 14

Article
Generalized Hilbert matrix operators acting on weighted sequence spaces
Jianjun Jin
Proceedings of the Edinburgh Mathematical Society, First View

Article
Square functions and variational estimates for Ritt operators on $L^1$
JENNIFER HULTS, KARIN REINHOLD LARSSON
Ergodic Theory and Dynamical Systems, Volume 46, Issue 8

Article
Weighted theory of Toeplitz operators on the Fock spaces
Jiale Chen
Canadian Journal of Mathematics, First View

Article
Meromorphic optimal domain of Volterra operators between Bergman–Morrey spaces
Junming Liu, Jihua Sun
Canadian Mathematical Bulletin, First View

Article
The norm of the Hilbert matrix operator on Bergman spaces
Guanlong Bao, Liu Tian, Hasi Wulan
Canadian Mathematical Bulletin, First View

Article
Infinite dimensional metapopulation SIS model with generalized incidence rate
Jean-François Delmas, Kacem Lefki, Pierre-André Zitt
Canadian Journal of Mathematics, First View

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Individual linear operators as elements of algebraic systems (47Cxx)

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Article
A note on the space of all Toeplitz operators
Michał Jasiczak
Canadian Mathematical Bulletin, Volume 67, Issue 4

Article
Connes fusion of spinors on loop space
Peter Kristel, Konrad Waldorf
Compositio Mathematica, Volume 160, Issue 7

Article
Weakly concave operators
Sameer Chavan, Jan Stochel
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 154, Issue 1

Article
Unitary equivalence of multiplication operators on the Bergman spaces of polygons
Hansong Huang, Dechao Zheng
Canadian Mathematical Bulletin, Volume 65, Issue 1

Article
Noncommutative strong maximals and almost uniform convergence in several directions
José M. Conde-Alonso, Adrián M. González-Pérez, Javier Parcet
Forum of Mathematics, Sigma, Volume 8

Article
Simultaneous Upper Triangular Forms for Commuting Operators in a Finite von Neumann Algebra
Ian Charlesworth, Ken Dykema, Fedor Sukochev, Dmitriy Zanin
Canadian Journal of Mathematics, Volume 72, Issue 5

Article
POSITIVE SCALAR CURVATURE AND CALLIAS-TYPE INDEX THEOREMS FOR PROPER ACTIONS
HAO GUO
Bulletin of the Australian Mathematical Society, Volume 99, Issue 2

Article
Numerical Ranges in II1 Factors
Ken Dykema, Paul Skoufranis
Proceedings of the Edinburgh Mathematical Society, Volume 61, Issue 1

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Groups and semigroups of linear operators, their generalizations and applications (47Dxx)

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Article
Well-posedness of second-order integro-differential equations
Shangquan Bu, Gang Cai
Canadian Mathematical Bulletin, First View

Article
Quasistatic approximation to time-inhomogeneous stochastic differential equations
Jeremiah Birrell
Journal of Applied Probability, First View

Article
Groups of matrices with approximately submultiplicative spectra
Mitja Mastnak, Lindsey McNamara, Zhipeng Yu
Canadian Mathematical Bulletin, Volume 69, Issue 2

Article
KMS states on uniform Roe algebras
Bruno M. Braga, Ruy Exel
Canadian Mathematical Communications, Volume 1

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

Article
Well-posedness for strongly damped abstract Cauchy problems of fractional order
João Aquino, Carlos Lizama, Andréa Prokopczyck
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Embedding of some classes of operators into strongly continuous semigroups
Isabelle Chalendar, Romain Lebreton
Canadian Mathematical Bulletin, Volume 68, Issue 1

Article
QUASI-ERGODICITY OF COMPACT STRONG FELLER SEMIGROUPS ON $L^2$
Kamil Kaleta, René L. Schilling
Journal of the Institute of Mathematics of Jussieu, Volume 24, Issue 2

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Ordinary differential operators (47Exx)

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Article
Friedrichs extensions for Sturm–Liouville operators with complex coefficients and their spectra
Zhaowen Zheng, Jiangang Qi, Jing Shao
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 153, Issue 6

Article
Inverse nodal problems on quantum tree graphs
Chuan-Fu Yang, Dai-Quan Liu
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 153, Issue 1

Article
AN UNBOUNDED OPERATOR WITH SPECTRUM IN A STRIP AND MATRIX DIFFERENTIAL OPERATORS
MICHAEL GIL’
Bulletin of the Australian Mathematical Society, Volume 105, Issue 1

Article
Spectra of a class of non-symmetric operators in Hilbert spaces with applications to singular differential operators
Huaqing Sun, Bing Xie
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 150, Issue 4

Article
SIMILARITY OF OPERATORS ON TENSOR PRODUCTS OF SPACES AND MATRIX DIFFERENTIAL OPERATORS
MICHAEL GIL’
Journal of the Australian Mathematical Society, Volume 106, Issue 1

Article
Partial inverse problems for Sturm–Liouville operators on trees
Natalia Bondarenko, Chung-Tsun Shieh
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 147, Issue 5

Article
Minimal spectral functions of an ordinary differential operator
Vadim Mogilevskii
Proceedings of the Edinburgh Mathematical Society, Volume 55, Issue 3

Article
U-Operators
L. Bernal-González, J. A. Prado-Tendero
Journal of the Australian Mathematical Society, Volume 78, Issue 1

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Partial differential operators (47Fxx)

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Article
A WEIGHTED $\boldsymbol {L}^{\boldsymbol {2}}$ ESTIMATE OF COMMUTATORS OF BOCHNER–RIESZ OPERATORS FOR HERMITE OPERATOR
PENG CHEN, XIXI LIN
Journal of the Australian Mathematical Society, Volume 116, Issue 3

Article
SPECTRAL MULTIPLIER THEOREMS FOR ABSTRACT DIFFERENTIAL OPERATORS
HIMANI SHARMA
Bulletin of the Australian Mathematical Society, Volume 108, Issue 2

Article
ON THE LOWEST EIGENVALUE OF THE FRACTIONAL LAPLACIAN FOR THE INTERSECTION OF TWO DOMAINS
ANH TUAN DUONG, VAN HOANG NGUYEN
Bulletin of the Australian Mathematical Society, Volume 108, Issue 2

Article
Numerical Optimization and Noise Analysis of High-Tip-Speed Wind Turbine
Long Wang, Guoping Chen, Tongguang Wang, Jiufa Cao
Advances in Applied Mathematics and Mechanics, Volume 9, Issue 6

Article
Intertwined Markov processes: the extended Chapman–Kolmogorov equation
Wha-Suck Lee, Niko Sauer
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 148, Issue 1

Article
Quasi boundary triples and semi-bounded self-adjoint extensions
Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik, Jonathan Rohleder
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 147, Issue 5

Article
THE $L^{q}$ ESTIMATES OF RIESZ TRANSFORMS ASSOCIATED TO SCHRÖDINGER OPERATORS
QINGQUAN DENG, YONG DING, XIAOHUA YAO
Journal of the Australian Mathematical Society, Volume 101, Issue 3

Article
ON STABILITY OF SQUARE ROOT DOMAINS FOR NON-SELF-ADJOINT OPERATORS UNDER ADDITIVE PERTURBATIONS
Fritz Gesztesy, Steve Hofmann, Roger Nichols
Mathematika, Volume 62, Issue 1

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Integral, integro-differential, and pseudodifferential operators (47Gxx)

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Article
Meromorphic optimal domain of Volterra operators between Bergman–Morrey spaces
Junming Liu, Jihua Sun
Canadian Mathematical Bulletin, First View

Article
TRACE FORMULAS IN NONCOMMUTATIVE GEOMETRY
E.-M. HEKKELMAN
Bulletin of the Australian Mathematical Society, Volume 113, Issue 1

Article
Localization operators on discrete Orlicz modulation spaces
Aparajita Dasgupta, Anirudha Poria
Canadian Mathematical Bulletin, First View

Article
Sobolev regularity of the Bergman projection on a class of singular Reinhardt domains
Shuo Zhang
Canadian Mathematical Bulletin, Volume 69, Issue 2

Article
STABILITY RESULTS FOR NONLOCAL SERRIN-TYPE PROBLEMS, ANTISYMMETRIC HARNACK INEQUALITIES AND GEOMETRIC ESTIMATES
JACK THOMPSON
Bulletin of the Australian Mathematical Society, Volume 112, Issue 2

Article
Volterra operators between Hardy spaces of vector-valued Dirichlet series
Jiale Chen
Canadian Mathematical Bulletin, Volume 68, Issue 1

Article
Local regularity for nonlocal double phase equations in the Heisenberg group
Yuzhou Fang, Chao Zhang, Junli Zhang
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
A class of Hausdorff–Berezin operators on the unit ball
Alexey Karapetyants, Adolf Mirotin
Canadian Mathematical Bulletin, Volume 67, Issue 4

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Nonlinear operators and their properties (47Hxx)

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Article
PROJECTION ALGORITHMS FOR FIXED POINT PROBLEMS
SHIN-YA MATSUSHITA
Bulletin of the Australian Mathematical Society, Volume 114, Issue 1

Article
EXISTENCE, NAGUMO-TYPE UNIQUENESS AND STABILITY OF MINKOWSKI-CURVATURE ON UNBOUNDED DOMAINS
TIANLAN CHEN, CHRISTOPHER S. GOODRICH
Journal of the Australian Mathematical Society, First View

Article
The range of the Douglas–Rachford operator in infinite-dimensional Hilbert spaces
Walaa M. Moursi
Canadian Journal of Mathematics, Volume 78, Issue 3

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

Article
Atypical bifurcation for periodic solutions of ϕ-Laplacian systems
Pierluigi Benevieri, Guglielmo Feltrin
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
On Bauschke–Bendit–Moursi modulus of averagedness and classifications of averaged nonexpansive operators
Shuang Song, Xianfu Wang
Canadian Journal of Mathematics, First View

Article
DOUGLAS–RACHFORD ALGORITHM FOR OPTIMAL CONTROL PROBLEMS
BETHANY I. CALDWELL
Bulletin of the Australian Mathematical Society, Volume 112, Issue 2

Article
PROOF MINING AND THE CONVEX FEASIBILITY PROBLEM: THE CURIOUS CASE OF DYKSTRA’S ALGORITHM
PEDRO PINTO
The Review of Symbolic Logic, Volume 18, Issue 3

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Equations and inequalities involving nonlinear operators (47Jxx)

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Article
Prescribed number of solutions for a multiple potential well quasilinear Schrödinger equation
Giovany Figueiredo, Marcelo Montenegro
Glasgow Mathematical Journal, First View

Article
Spectral algorithms in higher-order Fourier analysis
Pablo Candela, Diego González-Sánchez, Balázs Szegedy
Forum of Mathematics, Sigma, Volume 14

Article
PROJECTION ALGORITHMS FOR FIXED POINT PROBLEMS
SHIN-YA MATSUSHITA
Bulletin of the Australian Mathematical Society, Volume 114, Issue 1

Article
Square functions and variational estimates for Ritt operators on $L^1$
JENNIFER HULTS, KARIN REINHOLD LARSSON
Ergodic Theory and Dynamical Systems, Volume 46, Issue 8

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

Article
Atypical bifurcation for periodic solutions of ϕ-Laplacian systems
Pierluigi Benevieri, Guglielmo Feltrin
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Multiple solutions to relativistic systems with potential boundary conditions
Petru Jebelean, Călin Șerban, Stepan Tersian
Proceedings of the Edinburgh Mathematical Society, Volume 69, Issue 1

Article
Evans function, parity and nonautonomous bifurcations
Christian Pötzsche, Robert Skiba
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

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Linear spaces and algebras of operators (47Lxx)

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Article
Quantifying (non-)weak compactness of operators on $AL$- and $C(K)$-spaces
Antonio Acuaviva, Amir Bahman Nasseri
Proceedings of the Edinburgh Mathematical Society, First View

Article
Representation theory of the reflection equation algebra I: A quantization of Sylvester’s law of inertia
Kenny De Commer, Stephen T. Moore
Forum of Mathematics, Sigma, Volume 14

Article
Weak cluster points of maximizing sequences on Banach spaces satisfying $\boldsymbol {(M_p)}$
David Norrbo
Canadian Mathematical Bulletin, First View

Article
(WEAK) COMPACTNESS CRITERIA IN NONCOMMUTATIVE SYMMETRIC SPACES
YERLAN NESSIPBAYEV
Bulletin of the Australian Mathematical Society, Volume 113, Issue 3

Article
Ideal structure of uniform Roe algebras: beyond Property A
Qin Wang, Jiawen Zhang
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Simplicity of crossed products by FC-hypercentral groups
Shirly Geffen, Dan Ursu
Compositio Mathematica, Volume 161, Issue 9

Article
KMS states on uniform Roe algebras
Bruno M. Braga, Ruy Exel
Canadian Mathematical Communications, Volume 1

Article
X-ROKHLIN PROPERTY FOR ACTIONS OF COUNTABLE DISCRETE GROUPS
XIAOCHUN FANG, XIN CAO
Bulletin of the Australian Mathematical Society, Volume 113, Issue 2

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Miscellaneous applications of operator theory (47Nxx)

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Article
Ageing and mortality of persons with HIV: a novel data-driven approach
Alex Viguerie, Elisa Iacomini
European Journal of Applied Mathematics, First View

Article
On the power of adaption and randomization
David Krieg, Erich Novak, Mario Ullrich
Forum of Mathematics, Sigma, Volume 13

Article
The fragmentation equation with size diffusion: Well posedness and long-term behaviour
PH. LAURENÇOT, CH. WALKER
European Journal of Applied Mathematics, Volume 33, Issue 6

Article
On the steady state of continuous-time stochastic opinion dynamics with power-law confidence
François Baccelli, Sriram Vishwanath, Jae Oh Woo
Journal of Applied Probability, Volume 58, Issue 3

Article
On a generalization of Krasnoselskii's theorem
Dariusz Idczak, Andrzej Rogowski
Journal of the Australian Mathematical Society, Volume 72, Issue 3

Article
An alternative axiomatic characterisation of pricing operators
Stefan Kassberger, Thomas Liebmann
Journal of Applied Probability, Volume 53, Issue 4

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

Article
DOUGLAS–RACHFORD FEASIBILITY METHODS FOR MATRIX COMPLETION PROBLEMS
FRANCISCO J. ARAGÓN ARTACHO, JONATHAN M. BORWEIN, MATTHEW K. TAM
The ANZIAM Journal, Volume 55, Issue 4

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Other (nonclassical) types of operator theory (47Sxx)

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Article
Spectral algorithms in higher-order Fourier analysis
Pablo Candela, Diego González-Sánchez, Balázs Szegedy
Forum of Mathematics, Sigma, Volume 14

Article
A characterization of singular Schrödinger operators on the half-line
Raffaele Scandone, Lorenzo Luperi Baglini, Kyrylo Simonov
Canadian Mathematical Bulletin, Volume 64, Issue 4

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MSC 2010: Operator theory

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Operator theory (47-XX)

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General theory of linear operators (47Axx)

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Special classes of linear operators (47Bxx)

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Individual linear operators as elements of algebraic systems (47Cxx)

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Groups and semigroups of linear operators, their generalizations and applications (47Dxx)

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Ordinary differential operators (47Exx)

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Partial differential operators (47Fxx)

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Integral, integro-differential, and pseudodifferential operators (47Gxx)

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Nonlinear operators and their properties (47Hxx)

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Equations and inequalities involving nonlinear operators (47Jxx)

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Linear spaces and algebras of operators (47Lxx)

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Miscellaneous applications of operator theory (47Nxx)

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Other (nonclassical) types of operator theory (47Sxx)

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