Classical and Modern Methods in Summability

Szerző: Boos, Johann (Professor of Mathematics, FernUniversitaet - Gesamthochschule Hagen), Peter Cass

Nyelv:

Kötés: Kemény kötésű

Kiadó: Oxford University Press

Elérhetőség: Beszállítói készleten

Küldés 10-18 napon belül

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Summability is a mathematical topic with a long tradition and many applications in, for example, fun...

Információk a könyvről

Szerző

Boos, Johann (Professor of Mathematics, FernUniversitaet - Gesamthochschule Hagen), Peter Cass

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

2000

oldal

600

EAN

9780198501657

ISBN

019850165X

Enbook ID

04526775

Kiadó

Oxford University Press

Súly

973

Méretek

163 x 241 x 35

Teljes leírás

Summability is a mathematical topic with a long tradition and many applications in, for example, function theory, number theory, and stochastics. It was originally based on classical analytical methods, but was strongly influenced by modern functional analytical methods during the last seven decades. The present book aims to introduce the reader to the wide field of summability and its applications, and provides an overview of the most important classical and modern methods used. Part I contains a short general introduction to summability, the basic classical theory concerning mainly inclusion theorems and theorems of the Silverman-Toeplitz type, a presentation of the most important classes of summability methods, Tauberian theorems, and applications of matrix methods. The proofs in Part I are exclusively done by applying classical analytical methods. Part II is concerned with modern functional analytical methods in summability, and contains the essential functional analytical basis required in later parts of the book, topologization of sequence spaces as K- and KF-spaces, domains of matrix methods as FK-spaces and their topological structure. In this part the proofs are of functional analytical nature only. Part III of the present book deals with topics in summability and topological sequence spaces which require the combination of classical and modern methods. It covers investigations of the constistency of matrix methods and of the bounded domain of matrix methods via Saks space theory, and the presentation of some aspects in topological sequence spaces. Lecturers, graduate students, and researchers working in summability and related topics will find this book a useful introduction and reference work.

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