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Geometry of Banach Spaces

Geometry of Banach Spaces
Proceedings of the Conference Held in Strobl, Austria 1989

£39.99

Part of London Mathematical Society Lecture Note Series

J. Alonso, A. Ullan, S. Agyros, M. Petrakis, K. Ball, A. Pajor, P. G. Casazza, N. J. Kalton, W. Davis, M. Defant, M. Junge, S. J. Dilworth, T. Figiel, N. Ghoussoub, B. Maurey, W. Schachermayer, T. Gowers, H. Hunziker, H. Jarchow, V. Mascioni, A. Kaminska, B. Turett, H. König, P. Mankiewicz, N. Tomczak-Jaegermann, V. Milman, S. J. Montgomery-Smith, C. J. Read, M. Talagrand, L. W. Weiss
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  • Date Published: March 1991
  • availability: Available
  • format: Paperback
  • isbn: 9780521408509

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  • This volume reflects the progress made in many branches of recent research in Banach space theory. It is based on a conference attended by most of the leading figures in the area, and is intended to illustrate the interplay of Banach space theory with harmonic analysis, probability, complex function theory and finite dimensional convexity theory. The papers consist of a selection of surveys and original research papers. Research workers in functional and complex analysis will find much here to interest them.

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    Product details

    • Date Published: March 1991
    • format: Paperback
    • isbn: 9780521408509
    • length: 288 pages
    • dimensions: 228 x 153 x 17 mm
    • weight: 0.412kg
    • availability: Available
  • Table of Contents

    A note on the Ishihara and Takahashi modulus of convexity J. Alonso and A. Ullan
    1. A property of non-strongly regular operators S. Agyros and M. Petrakis
    2. The entropy of convex bodies with 'few' extreme points K. Ball and A. Pajor
    3. Spaces of vector-valued analytic functions and applications P. G. Casazza and N. J. Kalton
    4. Moduli of complex convexity W. Davis
    5. Grothendieck-type inequalities and weak Hilbert spaces M. Defant and M. Junge
    6. A weak topology characterization of l1(m) S. J. Dilworth
    7. Singular integral operators: a martingale approach T. Figiel
    8. Remarks about the interpolation of Radon-Nikodym operators N. Ghoussoub, B. Maurey and W. Schachermayer
    9. Symmetric sequences in finite-dimensional normed spaces T. Gowers
    10. Some topologies on the space of analytic self-maps of the unit disk H. Hunziker, H. Jarchow and V. Mascioni
    11. Minimal and strongly minimal Orlicz spaces N. J. Kalton
    12. Type and cotype in Musielak-Orlicz spaces A. Kaminska and B. Turett
    13. On the complex Grothendieck constant in the n-dimensional case H. König
    14. Pathological properties and dichotomies for random quotients of finite-dimensional Banach spaces P. Mankiewicz and N. Tomczak-Jaegermann
    15. A note on a low M*-estimate V. Milman
    16. The p1/p in Pisier's factorization theorem S. J. Montgomery-Smith
    17. When E and E[E] are isomorphic C. J. Read
    18. A note on Gaussian measure of translates of balls M. Talagrand
    19. Sublattices of M(X) isometric to M[0,1] L. W. Weiss.

  • Editors

    P. F. X. Müller, Johannes Kepler Universität Linz

    W. Schachermayer, Johannes Kepler Universität Linz

    Contributors

    J. Alonso, A. Ullan, S. Agyros, M. Petrakis, K. Ball, A. Pajor, P. G. Casazza, N. J. Kalton, W. Davis, M. Defant, M. Junge, S. J. Dilworth, T. Figiel, N. Ghoussoub, B. Maurey, W. Schachermayer, T. Gowers, H. Hunziker, H. Jarchow, V. Mascioni, A. Kaminska, B. Turett, H. König, P. Mankiewicz, N. Tomczak-Jaegermann, V. Milman, S. J. Montgomery-Smith, C. J. Read, M. Talagrand, L. W. Weiss

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