Mursaleen M., Başar F. Sequence Spaces-Topics in Modern Summability Theory

Boca Raton: CRC Press, 2020. — 313 p.This book is aimed at both experts and non-experts with an interest in getting acquainted with sequence spaces, matrix transformations and their applications. It consists of several new results which are part of the recent research on these topics. It provides different points of view in one volume, e.g. their topological properties, geometry and summability, fuzzy valued study and more.
This book presents the important role sequences and series play in everyday life, it covers geometry of Banach Sequence Spaces, it discusses the importance of generalized limit, it offers spectrum and fine spectrum of several linear operators and includes fuzzy valued sequences which exhibits the study of sequence spaces in fuzzy settings.
This book is the main attraction for those who work in Sequence Spaces, Summability Theory and would also serve as a good source of reference for those involved with any topic of Real or Functional Analysis.Basic Functional Analysis
Geometric Properties of Some Sequence Spaces
Infinite Matrices
Difference Sequence Spaces
Almost Convergence and Classes of Related Matrix Transformations
Spectrum of Some Triangle Matrices on Some Sequence Spaces
Sets of Fuzzy Valued Sequences and Series.