Methods in Banach space theory : proceedings of the V Conference on Banach Spaces, Cáceres, Spain, 13-18 September 2004 / edited by Jesús M.F. Castillo, William B. Johnson.

Includes bibliographical references.

Picture: closing at the main lecture room xi -- 1 Geometrical Methods -- Saturated extensions, the attractors method and Hereditarily James Tree Spaces / Spiros A. Argyros, Alexander D. Arvanitakis, Andreas G. Tolias 1 -- The Daugavet property for Lindenstrauss spaces / J. Becerra, M. Martin 91 -- Weakly null sequences in the Banach space C(K) / I. Gasparis, E. Odell, B. Wahl 97 -- 2 Homological Methods -- Yet another proof of Sobczyk's theorem / Felix Cabello Sanchez 133 -- The category of exact sequences of Banach spaces / Jesus M.F. Castillo, Yolanda Moreno 139 -- Extension problems for C(K) spaces and twisted sums / N.J. Kalton 159 -- Palamodov's questions from Homological methods in the theory of locally convex spaces / Jochen Wengenroth 169 -- 3 Topological Methods -- Ordinal representability in Banach spaces / M.J. Campion, J.C. Candeal, A.S. Granero, E. Indurain 183 -- Overclasses of the class of Radon-Nikodym compact spaces / Marian Fabian 197 -- Convexity, compactness and distances / A.S. Granero, Marcos Sanchez 215 -- 4 Operator Theory Methods -- Weyl's and Browder's theorems through the quasi-nilpotent part of an operator / Pietro Aiena, Maria Teresa Biondi 239 -- Multiplications and elementary operators in the Banach space setting / Eero Saksman, Hans-Olav Tylli 253 -- Interpolation of Banach Spaces by the [lambda]-method / Jesus Suarez, Lutz Weis 239 -- 5 Function Space Methods -- Solvability of an integral equation in BC(R[subscript +]) / J. Caballero, B. Lopez, K. Sadarangani 307 -- Harald Bohr meets Stefan Banach / Andreas Defant, Christopher Prengel 317 -- Selected problems on the structure of complemented subspaces of Banach spaces / Aleksander Pelczynski 341 -- Picture: some like it fun 358.

Print version record.

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.

English.

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