Methods in Banach Space Theory,9780521685689

Methods in Banach Space Theory

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ISBN13: 9780521685689
ISBN10: 0521685680
Format: Paperback
Pub. Date: 2006-12-11
Publisher(s): Cambridge University Press
List Price: $75.00

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Summary

This book presents an overview of modern Banach space theory. It contains sixteen papers that reflect the wide expanse of the subject. Articles are gathered into five sections according to methodology rather than the topics considered. The sections are: geometrical methods; homological methods; topological methods; operator theoretic methods; and also function space methods. Each section contains survey and research papers describing the state-of-the-art in the topic considered as well as some of the latest most important results. Researchers working in Banach space theory, functional analysis or operator theory will find much of interest here.

Table of Contents

Table of Contents v
Preface vii
Acknowledgements ix
Picture: closing at the main lecture room xi
1. GEOMETRICAL METHODS
Saturated extensions, the attractors method and Hereditarily James Tree Spaces
1
by Spiros A. Argyros, Alexander D. Arvanitakis and Andreas G. Tolias
The Daugavet property for Lindenstrauss spaces
91
by J. Becerra and M. Martin
Weakly null sequences in the Banach space C(K)
97
by I. Gasparis, E. Odell and B. Wahl
2. HOMOLOGICAL METHODS
Yet another proof of Sobczyk's theorem
133
by Félix Cabello Sánchez
The category of exact sequences of Banach spaces
139
by Jesús M.F. Castillo and Yolanda Moreno
Extension problems for C(K) spaces and twisted sums
159
by N.J. Kalton
Palamodov's questions from Homological methods in the theory of locally convex spaces
169
by Jochen Wengenroth
3. TOPOLOGICAL METHODS
Ordinal representability in Banach spaces
183
by M.J. Campión, J.C. Candeal, A.S. Granero and E. Induráin
Overclasses of the class of Radon-Nikodým compact spaces
197
by Marián Fabian
Convexity, compactness and distances
215
by A.S. Granero and Marcos Sánchez
4. OPERATOR THEORY METHODS
Weyl's and Browder's theorems through the quasi-nilpotent part of an operator
239
by Pietro Aiena and Maria Teresa Biondi
Multiplications and elementary operators in the Banach space setting
253
by Eero Saksman and Hans-Olav Tylli
Interpolation of Banach Spaces by the γ-method
293
by Jesús Suárez and Lutz Weis
5. FUNCTION SPACE METHODS
Solvability of an integral equation in BC(R+)
307
by J. Caballero, B. López and K. Sadarangani
Harald Bohr meets Stefan Banach
317
by Andreas Defant and Christopher Prengel
Selected problems on the structure of complemented subspaces of Banach spaces
341
by Aleksander Pelczynski
List of participants 355
Picture: some like it fun. 358

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