This book contains two sets of notes prepared for the Advanced
Course on R- sey Methods in Analysis given at the Centre de Recerca
Matem` atica in January 2004, as part of its year-long research
programme on Set Theory and its Appli- tions. The common goal of
the two sets of notes is to help young mathematicians enter a very
active area of research lying on the borderline between analysis
and combinatorics. The solution of the distortion problem for the
Hilbert space, the unconditional basic sequence problem for Banach
spaces, and the Banach ho- geneous space problem are samples of the
most important recent advances in this area, and our two sets of
notes will give some account of this. But our main goal was to try
to expose the general principles and methods that lie hidden behind
and are most likely useful for further developments. The goal of
the ?rst set of notes is to describe a general method of building
norms with desired properties, a method that is clearly relevant
when testing any sort of intuition about the in?nite-dimensional
geometry of Banach spaces. The goal of the second set of notes is
to expose Ramsey-theoretic methods relevant for describing the
rough structure present in this sort of geometry. We would like to
thank the coordinator of the Advanced Course, Joan Ba- ria, and the
director of the CRM, Manuel Castellet, for giving us this
challenging but rewarding opportunity. Part A
SaturatedandConditional StructuresinBanachSpaces SpirosA.
General
Imprint: |
Birkhauser Verlag AG
|
Country of origin: |
Switzerland |
Series: |
Advanced Courses in Mathematics - CRM Barcelona |
Release date: |
May 2005 |
First published: |
2005 |
Authors: |
Spiros A. Argyros
• Stevo Todorcevic
|
Dimensions: |
244 x 170 x 14mm (L x W x T) |
Format: |
Paperback
|
Pages: |
257 |
Edition: |
2005 ed. |
ISBN-13: |
978-3-7643-7264-4 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
|
LSN: |
3-7643-7264-8 |
Barcode: |
9783764372644 |
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