Aims and Scope
The
Advances in Operator Theory (AOT) is an international and peerreviewed 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)

Ktheory (MSC19)








Topological groups, Lie groups (MSC22)
Locally compact groups and their algebras 

Lie groups 
Measure and integration (MSC28)
Measuretheoretic ergodic
theory 
Real functions (MSC 26)

Inequalities 
Functions of a complex variable (MSC30)
Miscellaneous topics of analysis in the
complex domain 

Spaces and algebras of analytic functions 

Function theory on the disc 
Ordinary differential equations (MSC34)
Differential equations in abstract spaces 

Ordinary differential operators 
Partial differential equations (MSC35)
Spectral theory and eigenvalue problems 

Pseudodifferential operators and other generalizations of
partial differential operators 
Dynamical Systems and Ergodic
Theory (MSC37)
Random dynamical systems 
Abstract Harmonic Analysis (MSC 43)


Abstract harmonic analysis 
Integral equations (MSC45)
Eigenvalue problems 

Nonlinear integral equations 

Integroordinary differential equations 

Integropartial differential equations 

Integral operators 
Functional Analysis (MSC 46)


Topological linear spaces and related structures 



Normed linear spaces and Banach spaces; Banach lattices 



Inner product spaces and their generalizations, Hilbert spaces 



Linear function spaces and their duals 

Distributions, generalized functions, distribution spaces 



Measures, integration, derivative, holomorphy 



Topological algebras, normed rings and algebras, Banach algebras 



Commutative Banach algebras and commutative topological algebras 



Topological (rings and) algebras with an involution 



Selfadjoint operator algebras (C*algebras, von Neumann (W*) algebras, etc 



Methods of category theory in functional analysis 



Nonlinear functional analysis 
Operator Theory (MSC 47)


General theory of linear operators 



Special classes of linear operators 



Individual linear operators as elements of algebraic systems 



Groups and semigroups of linear operators, their generalizations and applications 



Ordinary differential operators 



Partial differential operators 



Integral, integrodifferential, and pseudodifferential operators 



Nonlinear operators and their properties 



Equations and inequalities involving nonlinear operators 



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)
Variational methods for eigenvalues of operators 
Global analysis, analysis on manifolds (MSC58)
Calculus on manifolds; nonlinear operators 
Probability theory and stochastic processes
Stochastic analysis 

Markov processes 
Quantum theory (MSC81)

Groups and algebras in quantum theory 


Scattering theory 