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

This volume reflects the progress made in many branches of recent research in Banach space theory and illustrates its interplay with other areas of analysis.

P. F. X. Müller (Edited by), W. Schachermayer (Edited by)

9780521408509, Cambridge University Press

Paperback, published 22 February 1991

288 pages
22.8 x 15.3 x 1.7 cm, 0.412 kg

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.

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.

Subject Areas: Calculus & mathematical analysis [PBK]