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.
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.
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.