Methods in Banach Space Theory (eBook, PDF)

Redaktion: Castillo, Jesus M. F.

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 30. November 2006
• Englisch
• ISBN-13: 9780511894077
• Artikelnr.: 38215713

Autorenporträt

Jesús M. F. Castillo is a Professor in the Department of Mathematics at Universidad de Extremadura.
William B. Johnson is a Distinguished Professor of Mathematics and holds the A.G. M.E. Chair of Mathematics at Texas AM University.

Inhaltsangabe

Acknowledgements; Foreword; Part I. Geometrical Methods: 1. Saturated
extensions, the attractors method and hereditarily James tree spaces Spiros
A. Agyros, Alexander D. Arvanitakis and Andreas G. Tolias; 2. The Daugavet
property for Lindenstrauss spaces J. Becerra and M. Martín; 3. Weakly null
sequences in the Banach space I. Gasparis, E. Odell and B. Wahl; Part II.
Homological Methods: 4. Yet another proof of Sobczyk's theorem Félix
Cabello Sanchez; 5. The category of exact sequences of Banach spaces Jesús
M. F. Castillo and Yolanda Moreno; 6. Extension problems for C(K)spaces and
twisted sums N. J. Kalton; 7. Palamodov's questions from homological
methods in the theory of locally convex spaces Jochen Wengenroth; Part III.
Topological Methods: 8. Ordinal representability in Banach spaces M. J.
Campión, J. C. Candeal, A. S. Granero and E. Indurain; 9. Overclasses of
the class of Radon-Nikodym compact spaces Marián Fabian; 10. Convexity,
compactness and distances A. S. Granero and Marcos Sánchez; Part IV.
Operator Theory Methods: 11. Weyl's and Browder's theorems through the
quasi-nilpotent part of an operator Pietro Aiena and Maria Teresa Biondi;
12. Multiplications and elementary operators in the Banach space setting
Eero Saksman and Hans-Olav Tylli; 13. Interpolation of Banach spaces by the
?-method Jesús Suárez and Lutz Weis; Part V. Function Space Methods: 14.
Solvability of an integral equation in BC(R+) J. Caballero, B. López and K.
Sadarangani; 15. Harold Bohr meets Stefan Banach Andreas Defant and
Christopher Prengel; 16. Selected problems on the structure of complemented
subspaces of Banach spaces Aleksander Pelczynski; List of participants.