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 Lp (and their sequence space analogues) a...

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Asıl Yazarlar: Albiac, Fernando, 19..-...., mathématicien, Kalton, Nigel J., 1946-2010, mathématicien (Yazar)
Materyal Türü: Livre numérique
Dil:Anglais
Baskı/Yayın Bilgisi: New York, NY : Springer New York [20..].
Cham : Springer Nature
Edisyon:1st ed. 2006.
Seri Bilgileri:Graduate Texts in Mathematics 233
Konular:
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Not: Description d'après consultation du 29 avril 2011
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Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Topics in Banach space theory, Fernando Albiac and Nigel J. Kalton, 2006, New York (N.Y.), Springer, 1 vol. (XI-373 p.), Graduate texts in mathematics, 978-0387-28141-4
• Topics in Banach Space Theory, Texte imprimé, 9780387508764
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504 |a Bibliogr. p. [353]-363. Index 
505 1 |a Bases and Basic Sequences The Classical Sequence Spaces Special Types of Bases Banach Spaces of Continuous Functions L1(?)-Spaces and C(K)-Spaces The Lp-Spaces for 1 ? p < ? Factorization Theory Absolutely Summing Operators Perfectly Homogeneous Bases and Their Applications ?p-Subspaces of Banach Spaces Finite Representability of ?p-Spaces An Introduction to Local Theory Important Examples of Banach Spaces 
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520 |a 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 Lp (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. Fernando Albiac received his PhD in 2000 from Universidad Publica de Navarra, Spain. He is currently Visiting Assistant Professor of Mathematics at the University of Missouri, Columbia. Nigel Kalton is Professor of Mathematics at the University of Missouri, Columbia. He has written over 200 articles with more than 82 different co-authors, and most recently, was the recipient of the 2004 Banach medal of the Polish Academy of Sciences 
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