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This book presents 30 articles on the topic areas discussed at the
30th "International Workshop on Operator Theory and its
Applications", held in Lisbon in July 2019. The contributions
include both expository essays and original research papers
reflecting recent advances in the traditional IWOTA areas and
emerging adjacent fields, as well as the applications of Operator
Theory and Functional Analysis. The topics range from C*-algebras
and Banach *-algebras, Sturm-Liouville theory, integrable systems,
dilation theory, frame theory, Toeplitz, Hankel, and singular
integral operators, to questions from lattice, group and matrix
theories, complex analysis, harmonic analysis, and function spaces.
Given its scope, the book is chiefly intended for researchers and
graduate students in the areas of Operator Theory, Functional
Analysis, their applications and adjacent fields.
This book presents 30 articles on the topic areas discussed at the
30th "International Workshop on Operator Theory and its
Applications", held in Lisbon in July 2019. The contributions
include both expository essays and original research papers
reflecting recent advances in the traditional IWOTA areas and
emerging adjacent fields, as well as the applications of Operator
Theory and Functional Analysis. The topics range from C*-algebras
and Banach *-algebras, Sturm-Liouville theory, integrable systems,
dilation theory, frame theory, Toeplitz, Hankel, and singular
integral operators, to questions from lattice, group and matrix
theories, complex analysis, harmonic analysis, and function spaces.
Given its scope, the book is chiefly intended for researchers and
graduate students in the areas of Operator Theory, Functional
Analysis, their applications and adjacent fields.
This book consists of invited survey articles and research papers
in the scientific areas of the "International Workshop on Operator
Algebras, Operator Theory and Applications," which was held in
Lisbon in July 2016. Reflecting recent developments in the field of
algebras of operators, operator theory and matrix theory, it
particularly focuses on groupoid algebras and Fredholm conditions,
algebras of approximation sequences, C* algebras of convolution
type operators, index theorems, spectrum and numerical range of
operators, extreme supercharacters of infinite groups, quantum
dynamics and operator algebras, and inverse eigenvalue problems.
Establishing bridges between the three related areas of operator
algebras, operator theory, and matrix theory, the book is aimed at
researchers and graduate students who use results from these areas.
This book consists of invited survey articles and research papers
in the scientific areas of the "International Workshop on Operator
Algebras, Operator Theory and Applications," which was held in
Lisbon in July 2016. Reflecting recent developments in the field of
algebras of operators, operator theory and matrix theory, it
particularly focuses on groupoid algebras and Fredholm conditions,
algebras of approximation sequences, C* algebras of convolution
type operators, index theorems, spectrum and numerical range of
operators, extreme supercharacters of infinite groups, quantum
dynamics and operator algebras, and inverse eigenvalue problems.
Establishing bridges between the three related areas of operator
algebras, operator theory, and matrix theory, the book is aimed at
researchers and graduate students who use results from these areas.
This book consists of research papers that cover the scientific
areas of the International Workshop on Operator Theory, Operator
Algebras and Applications, held in Lisbon in September 2012. The
volume particularly focuses on (i) operator theory and harmonic
analysis (singular integral operators with shifts;
pseudodifferential operators, factorization of almost periodic
matrix functions; inequalities; Cauchy type integrals; maximal and
singular operators on generalized Orlicz-Morrey spaces; the Riesz
potential operator; modification of Hadamard fractional
integro-differentiation), (ii) operator algebras (invertibility in
groupoid C*-algebras; inner endomorphisms of some semi group,
crossed products; C*-algebras generated by mappings which have
finite orbits; Folner sequences in operator algebras; arithmetic
aspect of C*_r SL(2); C*-algebras of singular integral operators;
algebras of operator sequences) and (iii) mathematical physics
(operator approach to diffraction from polygonal-conical screens;
Poisson geometry of difference Lax operators).
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