Aims and Scope

The Advances in Operator Theory (AOT) is an international and peer-reviewed journal mainly presenting papers of high standards in Operator Theory (MSC 47), Functional Analysis (MSC 46), Matrix Analysis (MSC15) and Abstract Harmonic Analysis (MSC43). Submissions should present deep results with new ideas, profound impact and significant implications. The journal is composed of original research and survey articles.

The journal may consider submissions in the following topics but related to Operator Theory:

Linear and multilinear algebra; matrix theory (MSC15)

15Axx	Basic linear algebra
15Bxx	Special matrices

K-theory (MSC19)

19Kxx

$K$-theory and operator algebras

Topological groups, Lie groups (MSC22)

22Dxx	Locally compact groups and their algebras
22Exx	Lie groups

Measure and integration (MSC28)

28Dxx

Measure-theoretic ergodic theory

Real functions (MSC 26)

26Dxx

Inequalities

Functions of a complex variable (MSC30)

30Exx	Miscellaneous topics of analysis in the complex domain
30Hxx	Spaces and algebras of analytic functions
30Jxx	Function theory on the disc

Ordinary differential equations (MSC34)

34Gxx	Differential equations in abstract spaces
34Lxx	Ordinary differential operators

Partial differential equations (MSC35)

35Pxx	Spectral theory and eigenvalue problems
35Sxx	Pseudodifferential operators and other generalizations of partial differential operators

Dynamical Systems and Ergodic Theory (MSC37)

37Hxx

Random dynamical systems

Abstract Harmonic Analysis (MSC 43)

43Axx

Abstract harmonic analysis

Integral equations (MSC45)

45Cxx	Eigenvalue problems
45Gxx	Nonlinear integral equations
45Jxx	Integro-ordinary differential equations
45Kxx	Integro-partial differential equations
45Pxx	Integral operators

Functional Analysis (MSC 46)

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
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
46Txx	Nonlinear functional analysis

 Operator Theory (MSC 47)

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

Calculus of variations and optimal control; optimization (MSC49)

49Rxx

Variational methods for eigenvalues of operators

Global analysis, analysis on manifolds (MSC58)

58Cxx

Calculus on manifolds; nonlinear operators

Probability theory and stochastic processes

60Hxx	Stochastic analysis
60Jxx	Markov processes

Quantum theory (MSC81)

81Rxx	Groups and algebras in quantum theory
81Uxx	Scattering theory