Sequence Spaces and Summability over Valued Fields
Auteur : Natarajan P. N.
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.
Date de parution : 07-2019
15.6x23.4 cm
Thèmes de Sequence Spaces and Summability over Valued Fields :
Mots-clés :
Schur Matrix; Banach Algebra; Steinhaus theorems; Residue Class Field; sequence spaces; non-Archimedean Valuation; Normed Linear Space; non-Archimedean valued field; Closed Linear Span; Archimedean summability theory; Linear Space; Sequence Space; Positive Integer; Dense; Topological Linear Space; Cauchy Sequence; Infinite Matrix; Regular Matrix; Summability Matrices; Banach Space; Null Sequence; Bounded Sequences; Matrix Class; Divergent Sequence; Valued Fields; Regular Matrices; Linear Topological Space; Convolution Product; Schwartz Space