Sequence Spaces and Summability over Valued Fields

Gebonden Engels 2019 9780367236625
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Samenvatting

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 FeaturesPresented in a self-contained mannerProvides examples and counterexamples in the relevant contextsProvides extensive references at the end of each chapter to enable the reader to do further research in the topicPresented in the same book, a comparative study of Archimedean and non-Archimedean Summability TheoryAppeals 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.

Specificaties

ISBN13:9780367236625
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:192
Uitgever:Taylor & Francis Ltd

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Inhoudsopgave

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.

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          Sequence Spaces and Summability over Valued Fields