Sequence Spaces and Summability over Valued Fields

著者名：Natarajan, P. N.

Chapman and Hall/CRC（2019/07/09発売）

• 言語：ENG
• ISBN：9780367236625
• eISBN：9781000074918

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.

Table of 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.