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.

Format:

Book

Conference/Event

Contributor:

Castillo, Jesús M. F., editor.

Johnson, W. B. (William B.), 1944- editor.

Conference Name:

Conference on Banach Spaces (5th : 2004 : Cáceres, Spain)

Series:

London Mathematical Society lecture note series ; 337.

London Mathematical Society lecture note series ; 337

Language:

English

Subjects (All):

Banach spaces--Methodology--Congresses.

Banach spaces.

Physical Description:

1 online resource (x, 357 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2006.

Language Note:

English

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.

Contents:

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.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references.

ISBN:

1-139-88260-0

1-107-36778-6

1-107-37232-1

1-107-36287-3

1-107-36878-2

1-299-40538-X

1-107-36532-5

0-511-89407-4

0-511-72136-6