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Methods in Banach Space Theory

Methods in Banach Space Theory

$100.00 (C)

Part of London Mathematical Society Lecture Note Series

Spiros A. Agyros, Alexander D. Arvanitakis, Andreas G. Tolias, J. Becerra, M. Martín, I. Gasparis, E. Odell, B. Wahl, Félix Cabello Sanchez, Jesús M. F. Castillo, Yolanda Moreno, N. J. Kalton, Jochen Wengenroth, M. J. Campión, J. C. Candeal, A. S. Granero, E. Indurain, Marián Fabian, Marcos Sánchez, Pietro Aiena, Maria Teresa Biondi, Eero Saksman, Hans-Olav Tylli, Jesús Suárez, Lutz Weis, J. Caballero, B. López, K. Sadarangani, Andreas Defant, Christopher Prengel, Aleksander Pelczynski
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  • Date Published: December 2006
  • availability: In stock
  • format: Paperback
  • isbn: 9780521685689

$ 100.00 (C)
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About the Authors
  • 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.

    • Presents overview of modern Banach space theory
    • Contains most up-to-date and important results in this topic
    • Ideal for all researchers working in Banach space theory, functional analysis or operator theory
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    Reviews & endorsements

    '… warmly recommended to researchers and graduate students in Banach space theory and functional analysis.' European Mathematical Society Newsletter

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    Product details

    • Date Published: December 2006
    • format: Paperback
    • isbn: 9780521685689
    • length: 370 pages
    • dimensions: 228 x 154 x 18 mm
    • weight: 0.512kg
    • contains: 7 b/w illus.
    • availability: In stock
  • Table of Contents

    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.

  • Editors

    Jesus M. F. Castillo, Universidad de Extremadura, Spain
    Jesús M. F. Castillo is a Professor in the Department of Mathematics at Universidad de Extremadura.

    William B. Johnson, Texas A & M University
    William B. Johnson is a Distinguished Professor of Mathematics and holds the A.G. & M.E. Chair of Mathematics at Texas A&M University.

    Contributors

    Spiros A. Agyros, Alexander D. Arvanitakis, Andreas G. Tolias, J. Becerra, M. Martín, I. Gasparis, E. Odell, B. Wahl, Félix Cabello Sanchez, Jesús M. F. Castillo, Yolanda Moreno, N. J. Kalton, Jochen Wengenroth, M. J. Campión, J. C. Candeal, A. S. Granero, E. Indurain, Marián Fabian, Marcos Sánchez, Pietro Aiena, Maria Teresa Biondi, Eero Saksman, Hans-Olav Tylli, Jesús Suárez, Lutz Weis, J. Caballero, B. López, K. Sadarangani, Andreas Defant, Christopher Prengel, Aleksander Pelczynski

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