Sequence Spaces: Topics in Modern Summability Theory, 1st Edition (Hardback) book cover

Sequence Spaces

Topics in Modern Summability Theory, 1st Edition

By Mohammad Mursaleen, Feyzi Başar

CRC Press

320 pages | 3 B/W Illus.

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Hardback: 9780367819170
pub: 2020-03-23
Available for pre-order. Item will ship after 23rd March 2020

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This book is aimed at both experts and non-experts with an interest in getting acquainted with sequence space, 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 Sequences Spaces, Summability Theory and would also serve as a good source of reference for those involved with any topic of Real or Functional Analysis.

Table of Contents

1. Basic Functional Analysis. 2. Geometric Properties of Some Sequence Spaces. 3. Infinite Matrices. 4. Difference Sequence Spaces. 5. Almost Convergence and Classes of Related Matrix Transformations. 6. Spectrum of Some Triangle Matrices on Some Sequence Spaces. 7. Sets of Fuzzy Valued Sequences and Series.

About the Authors

Mohammad Mursaleen is presently a Principal Investigator for a SERB Core Research Grant at Department of Mathematics, Aligarh Muslim University. He has published more than 330 research papers in the field of Summability, Sequence Spaces, Approximation Theory, Fixed Point Theory, Measures of Noncompactness. He has also published 8 books and completed several National and International projects, visited several countries. Besides several master students he has guided 20 Ph.D. students, served as a reviewer for various international scientific journals. He is also member of editorial board of many international scientific journals.

Feyzi Basar is a Professor Emeritus since July 2016, at ?In¨on¨u University,Turkey. He has published an e-book for graduate students and researchers and more than 150 scientific papers in the field of summability theory, sequence spaces, FK-spaces, Schauder bases, dual spaces, matrix transformations, spectrum of certain linear operators represented by a triangle matrix over some sequence space, the alpha-, beta- and gamma-duals and some topological properties of the domains of some double and four dimensional triangles in the certain spaces of single and double sequences, sets of the sequences of fuzzy numbers, multiplicative calculus. He has guided 17 master and 10 Ph.D. students., served as a referee 121 international scientific journals. He is the member of editorial board of 21 scientific journals. Feyzi Basar is also a member of scientific committee of 17 mathematics conference, gave talks at 14 different universities as invited speaker and participated more than 70 mathematics symposium with a paper.

About the Series

Mathematics and its Applications

Modelling, Engineering, and Social Sciences

This series is intended for mathematicians, engineers, and other scientists in a broad sense, and aims to cover new developments and advances in mathematics, as well as it's applications related to industrial and manufacturing engineering, as well as Human Factors and Ergonomics. A special emphasis is on modelling, engineering, and social sciences. The series will include important classical topics of a pure and applied nature presented in an attractive style that can benefit students, researchers, and practitioners. The series will include research level monographs, edited volumes, papers arising from seminars or lecture series that will make up reference books, that will be edited and cohesive to fit the theme of the series.

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Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / Probability & Statistics / General
MATHEMATICS / Functional Analysis
TECHNOLOGY & ENGINEERING / Industrial Engineering
TECHNOLOGY & ENGINEERING / Operations Research