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Full Description
Sequence spaces and summability over valued fields is a research book aimed at research scholars, graduate students and teachers with an interest in Summability Theory both Classical (Archimedean) and Ultrametric (non-Archimedean).
The book presents theory and methods in the chosen topic, spread over 8 chapters that seem to be important at research level in a still developing topic.
Key Features
Presented in a self-contained manner
Provides examples and counterexamples in the relevant contexts
Provides extensive references at the end of each chapter to enable the reader to do further research in the topic
Presented in the same book, a comparative study of Archimedean and non-Archimedean Summability Theory
Appeals to young researchers and experienced mathematicians who wish to explore new areas in Summability Theory
The book is written by a very experienced educator and researcher in Mathematical Analysis particularly Summability Theory.
Contents
About the Author. Foreword. Preface. Preliminaries. On Certain Spaces Containing the Space of Cauchy Sequences. Matrix Transformations Between Some Other Sequence Spaces. Characterization of Regular and Schur Matrices. A Study of the Sequence Space c0(p). On the Sequence Spaces `(p), c0(p), c(p), `1(p) over Non-archimedean Fields. A Characterization of the Matrix Class (`1; c0) and Summability Matrices of Type M in Non-archimedean Analysis. More Steinhaus Type Theorems over Valued Fields. Index.
