TY - BOOK AU - Castillo,Jesús M.F. AU - Johnson,W.B. ED - Conference on Banach Spaces TI - Methods in Banach space theory: proceedings of the V Conference on Banach Spaces, Cáceres, Spain, 13-18 September 2004 T2 - London Mathematical Society lecture note series SN - 9780511721366 (ebook) AV - QA322.2 .C63 2004 U1 - 515.732 22 PY - 2006/// CY - Cambridge PB - Cambridge University Press KW - Banach spaces KW - Methodology KW - Congresses N1 - Title from publisher's bibliographic system (viewed on 05 Oct 2015); 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 N2 - 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 UR - https://doi.org/10.1017/CBO9780511721366 ER -