Operators Between Sequence Spaces and Applications

Beschreibung

This book presents modern methods in functional analysis and operator theory along with their applications in recent research. The book also deals with the solvability of infinite systems of linear equations in various sequence spaces. It uses the classical sequence spaces, generalized Cesaro and difference operators to obtain calculations and simplifications of complicated spaces involving these operators. In order to make it self-contained, comprehensive and of interest to a larger mathematical community, the authors have presented necessary concepts with results for advanced research topics. This book is intended for graduate and postgraduate students, teachers and researchers as a basis for further research, advanced lectures and seminars.
This book presents modern methods in functional analysis and operator theory along with their applications in recent research. The book also deals with the solvability of infinite systems of linear equations in various sequence spaces. It uses the classical sequence spaces, generalized Cesaro and difference operators to obtain calculations and simplifications of complicated spaces involving these operators. In order to make it self-contained, comprehensive and of interest to a larger mathematical community, the authors have presented necessary concepts with results for advanced research topics. This book is intended for graduate and postgraduate students, teachers and researchers as a basis for further research, advanced lectures and seminars.
Discusses the modern methods in functional analysis and operator theory Links various fields of functional analysis and operator theory Includes rigorous mathematical proofs and recent results and applications of the discussed concepts Appeals to graduate and postgraduate students, teachers, and researchers alike

Autor*in

Bruno de Malafosse

Themen in »Operators Between Sequence Spaces and Applications«

Sequence Spaces Banach Sequence Spaces Functional Analytic Methods Convergence Factors Summability Factors Summability Methods Spectrum and Resolvent

Stimmen zu »Operators Between Sequence Spaces and Applications«

“This book presents recent studies on bounded and compact operators, their underlying theories and applications to problems of the solutions of infinite systems of linear equations in various sequence spaces. … The reader wishing to learn these topics can obtain a complete outlook just by reading this book. In addition, at the end of each chapter, there is a very complete and updated list of references.” (María C. Listán-García, Mathematical Reviews, August, 2022)
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