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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
Optimization of the principal eigenvalue of the Neumann Laplacian with indefinite weight and monotonicity of minimizers in cylinders
Claudia Anedda, Fabrizio Cuccu
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Quantitative ergodic theorems for actions of groups of polynomial growth
GUIXIANG HONG, WEI LIU
Ergodic Theory and Dynamical Systems, First View

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

Article
Higher-order trace formulas for contractive and dissipative operators
Arup Chattopadhyay, Chandan Pradhan, Anna Skripka
Canadian Journal of 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
A Kakutani–Rokhlin decomposition for conditionally ergodic process in the measure-free setting of vector lattices
YOUSSEF AZOUZI, MARWA MASMOUDI, BRUCE ALASTAIR WATSON
Ergodic Theory and Dynamical Systems, First View

Article
Generalized Airy operators
Antonio Arnal, Petr Siegl
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
On weaving Hilbert space frames and Riesz bases
Animesh Bhandari
Canadian Mathematical Bulletin, First View

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Special classes of linear operators (47Bxx)

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Article
An extension-restriction theorem for weighted Besov spaces
Dalian Jin, Liguang Liu, Suqing Wu
Canadian Journal of Mathematics, First View

Article
Operator realizations of non-commutative analytic functions
Méric L. Augat, Robert T. W. Martin, Eli Shamovich
Forum of Mathematics, Sigma, Volume 13

Article
A Kakutani–Rokhlin decomposition for conditionally ergodic process in the measure-free setting of vector lattices
YOUSSEF AZOUZI, MARWA MASMOUDI, BRUCE ALASTAIR WATSON
Ergodic Theory and Dynamical Systems, First View

Article
At the crossroads of holomorphic dynamic and operator theory: spectral properties of composition operators on $\mathrm {Hol}(\mathbb {B}_N)$
Lucas Oger
Canadian Mathematical Bulletin, First View

Article
Zero-one law of orbital limit points for weighted shifts
Antonio Bonilla, Rodrigo Cardeccia, Karl-G. Grosse-Erdmann, Santiago Muro
Proceedings of the Edinburgh Mathematical Society, Volume 68, Issue 3

Article
A Cesàro-like operator from a class of analytic function spaces to analytic Besov spaces
Pengcheng Tang
Canadian Mathematical Bulletin, First View

Article
Compact composition operators on model spaces
Evgueni Doubtsov
Canadian Mathematical Bulletin, First View

Article
GAUSSIAN HOLOMORPHIC SECTIONS ON NONCOMPACT COMPLEX MANIFOLDS
Alexander Drewitz, Bingxiao Liu, George Marinescu
Journal of the Institute of Mathematics of Jussieu, Volume 24, Issue 4

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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
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

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

Article
EVENTUAL POSITIVITY AND ASYMPTOTIC BEHAVIOUR FOR HIGHER-ORDER EVOLUTION EQUATIONS
JONATHAN MUI
Bulletin of the Australian Mathematical Society, Volume 109, Issue 1

Article
Periodic solutions of four-order degenerate differential equations with finite delay in vector-valued function spaces
Shangquan Bu, Gang Cai
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 155, 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
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

Article
$L^p$-BOUNDEDNESS OF THE BEREZIN TRANSFORM ON GENERALISED HARTOGS TRIANGLES
QINGYANG ZOU
Bulletin of the Australian Mathematical Society, Volume 111, Issue 3

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

Article
Hausdorff operators on some classical spaces of analytic functions
Huayou Xie, Qingze Lin
Canadian Mathematical Bulletin, Volume 67, Issue 3

Article
On generalized eigenvalue problems of fractional (p, q)-Laplace operator with two parameters
Nirjan Biswas, Firoj Sk
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 155, Issue 4

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Nonlinear operators and their properties (47Hxx)

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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, First View

Article
A NOTE ON IMPLICIT ITERATION PROCESSES
WOJCIECH M. KOZLOWSKI
Bulletin of the Australian Mathematical Society, First View

Article
Linear convergence of alternating inertial Tseng-type method for solving inclusion problems on Hadamard manifolds
H. A. Abass
Proceedings of the Edinburgh Mathematical Society, Volume 68, Issue 2

Article
Maximal noncompactness of limiting Sobolev embeddings
Jan Lang, Zdeněk Mihula, Luboš Pick
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

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Equations and inequalities involving nonlinear operators (47Jxx)

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Article
Minimal oscillation and vanishing of smooth functions
Jean Saint Raymond
Canadian Mathematical Bulletin, 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
Multiple solutions to relativistic systems with potential boundary conditions
Petru Jebelean, Călin Șerban, Stepan Tersian
Proceedings of the Edinburgh Mathematical Society, First View

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

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

Article
On a perturbed critical semilinear equation with singularity
Sarika Goyal, Kunnath Sandeep
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Strict Faber–Krahn-type inequality for the mixed local–nonlocal operator under polarization
K. Ashok Kumar, Nirjan Biswas
Proceedings of the Edinburgh Mathematical Society, Volume 68, Issue 2

Article
Two relaxed inertial forward-backward-forward algorithms for solving monotone inclusions and an application to compressed sensing
Bing Tan, Xiaolong Qin
Canadian Journal of Mathematics, First View

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Linear spaces and algebras of operators (47Lxx)

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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, First View

Article
On Fock covariance for product systems and the reduced Hao–Ng isomorphism problem by discrete actions
Evgenios T. A. Kakariadis, Ioannis Apollon Paraskevas
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
The lattice of C$^*$-covers of an operator algebra
Adam Humeniuk, Christopher Ramsey
Canadian Journal of Mathematics, First View

Article
$C^*$-ALGEBRAS OF UNSATURATED FELL BUNDLES OVER ÉTALE GROUPOIDS
ROHIT DILIP HOLKAR, MD AMIR HOSSAIN
Bulletin of the Australian Mathematical Society, Volume 112, Issue 2

Article
Compact elements and the hypocompact radical of crossed products
Michael Anoussis, Charalampos Magiatis
Canadian Mathematical Bulletin, Volume 68, Issue 1

Article
Crossed products as compact quantum metric spaces
Mario Klisse
Canadian Journal of Mathematics, First View

Article
Isometric dilations for representations of product systems
Sibaprasad Barik, Monojit Bhattacharjee, Baruch Solel
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

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Miscellaneous applications of operator theory (47Nxx)

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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
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

Article
On Statistical Properties of Sets Fulfilling Rolling-Type Conditions
A. Cuevas, R. Fraiman, B. Pateiro-López
Advances in Applied Probability, Volume 44, Issue 2

Article
Limit of the Transport Capacity of a Dense Wireless Network
Radha Krishna Ganti, Martin Haenggi
Journal of Applied Probability, Volume 47, Issue 3

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

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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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