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OverviewSummability 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. Full Product DetailsAuthor: Johann Boos (Professor of Mathematics, Professor of Mathematics, FernUniversitaet - Gesamthochschule HagenGermany) , Peter CassPublisher: Oxford University Press Imprint: Oxford University Press Dimensions: Width: 16.30cm , Height: 3.50cm , Length: 24.10cm Weight: 0.973kg ISBN: 9780198501657ISBN 10: 019850165 Pages: 600 Publication Date: 02 November 2000 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsReviewsThis book will serve as a strong stimulus to interest new researchers in summability Zentralblatt Mathematik Author InformationJ. Boos, Professor of Mathematics, FernUniversität-Gesamthochschule Hagen, Germany. Tab Content 6Author Website:Countries AvailableAll regions |
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