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Ramsey Methods in Analysis (Advanced Courses in Mathematics - CRM Barcelona) [Paperback]

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Item description for Ramsey Methods in Analysis (Advanced Courses in Mathematics - CRM Barcelona) by Spiros A. Argyros...

This book introduces graduate students and resarchers to the study of the geometry of Banach spaces using combinatorial methods. The combinatorial, and in particular the Ramsey-theoretic, approach to Banach space theory is not new, it can be traced back as early as the 1970s. Its full appreciation, however, came only during the last decade or so, after some of the most important problems in Banach space theory were solved, such as, for example, the distortion problem, the unconditional basic sequence problem, and the homogeneous space problem. The book covers most of these advances, but one of its primary purposes is to discuss some of the recent advances that are not present in survey articles of these areas. We show, for example, how to introduce a conditional structure to a given Banach space under construction that allows us to essentially prescribe the corresponding space of non-strictly singular operators. We also apply the Nash-Williams theory of fronts and barriers in the study of Cezaro summability and unconditionality present in basic sequences inside a given Banach space. We further provide a detailed exposition of the block-Ramsey theory and its recent deep adjustments relevant to the Banach space theory due to Gowers.





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Item Specifications...


Pages   257
Est. Packaging Dimensions:   Length: 9.4" Width: 6.7" Height: 0.6"
Weight:   1.35 lbs.
Binding  Softcover
Release Date   May 18, 2005
Publisher   Birkhäuser Basel
ISBN  3764372648  
ISBN13  9783764372644  


Availability  127 units.
Availability accurate as of May 27, 2017 01:40.
Usually ships within one to two business days from La Vergne, TN.
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Product Categories

1Books > Special Features > New & Used Textbooks > Sciences > Mathematics
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > Statistics
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
4Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Discrete Mathematics
5Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Functional Analysis
6Books > Subjects > Reference
7Books > Subjects > Science > General
8Books > Subjects > Science > Mathematics > Applied > Probability & Statistics
9Books > Subjects > Science > Mathematics > General
10Books > Subjects > Science > Mathematics > Mathematical Analysis
11Books > Subjects > Science > Mathematics > Pure Mathematics > Discrete Mathematics
12Books > Subjects > Science > Mathematics > Pure Mathematics > Functional Analysis
13Books > Subjects > Science > Mathematics > Reference



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