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Study Topics In Banach Space Theory (repost)

Posted on 2010-03-16




Name:Study Topics In Banach Space Theory (repost)
ASIN/ISBN:038728141X
Language:English
File size:2.5 Mb
Publish Date: 2006-01-04
ISBN: 038728141X
Pages: 376 pages
File Type: PDF
File Size: 2,5 MB
Other Info: Springer
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Fernando Albiac "Topics In Banach Space Theory"

Assuming only a basic knowledge of functional analysis, the book gives the reader a self-contained overview of the ideas and techniques in the development of modern Banach space theory. Special emphasis is placed on the study of the classical Lebesgue spaces L[subscript p] (and their sequence space analogues) and spaces of continuous functions. The authors also stress the use of bases and basic sequences techniques as a tool for understanding the isomorphic structure of Banach spaces. The aim of this text is to provide the reader with the necessary technical tools and background to reach the frontiers of research without the introduction of too many extraneous concepts. Detailed and accessible proofs are included, as are a variety of exercises and problems.

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