| 000 -LEADER |
|---|
| fixed length control field |
03741nam a22004335i 4500 |
| 001 - CONTROL NUMBER |
|---|
| control field |
978-3-7643-7360-3 |
| 003 - CONTROL NUMBER IDENTIFIER |
|---|
| control field |
DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20161121230935.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
|---|
| fixed length control field |
cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
100301s2005 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9783764373603 |
| -- |
978-3-7643-7360-3 |
| 024 7# - OTHER STANDARD IDENTIFIER |
|---|
| Standard number or code |
10.1007/3-7643-7360-1 |
| Source of number or code |
doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA319-329.9 |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
PBKF |
| Source |
bicssc |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
MAT037000 |
| Source |
bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
515.7 |
| Edition number |
23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Argyros, Spiros A. |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Ramsey Methods in Analysis |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc. |
by Spiros A. Argyros, Stevo Todorcevic. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Basel : |
| Name of producer, publisher, distributor, manufacturer |
Birkh�user Basel, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2005. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
VI, 257 p. |
| Other physical details |
online resource. |
| 336 ## - CONTENT TYPE |
|---|
| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
|---|
| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
|---|
| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
|---|
| File type |
text file |
| Encoding format |
PDF |
| Source |
rda1 |
| 490 ## - SERIES STATEMENT |
|---|
| Series statement |
Advanced Courses in Mathematics CRM Barcelona, Centre de Recerca Matem�tica0 |
| 505 ## - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Saturated and Conditional Structures in Banach Spaces -- Tsirelson and Mixed Tsirelson Spaces -- Tree Complete Extensions of a Ground Norm -- Hereditarily Indecomposable Extensions with a Schauder Basis -- The Space of the Operators for Hereditarily Indecomposable Banach Spaces -- Examples of Hereditarily Indecomposable Extensions -- The Space $$\mathfrak{X}\omega _1 $$ -- The Finite Representability of $$J_{T_0 }$$ and the Diagonal Space $$D \left( {\mathfrak{X}_\gamma } \right)$$ -- The Spaces of Operators $$L\left( {\mathfrak{X}_\gamma } \right)$$ , $$L\left( {X,\mathfrak{X}\omega _1 } \right)$$ -- Transfinite Schauder Basic Sequences -- The Proof of the Finite Representability of $$J_{T_0 }$$ -- High-Dimensional Ramsey Theory and Banach Space Geometry -- Finite-Dimensional Ramsey Theory: Finite Representability of Banach Spaces -- Ramsey Theory of Finite and Infinite Sequences -- Ramsey Theory of Finite and Infinite Block Sequences -- Approximate and Strategic Ramsey Theory of Banach Spaces. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
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. 0 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Mathematics. 0 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Functional analysis. 0 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Combinatorics.14 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Mathematics.24 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Functional Analysis.24 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Combinatorics.1 |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Todorcevic, Stevo. |
| Relator term |
author.2 |
| 710 ## - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service)0 |
| 773 ## - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks08 |
| 776 ## - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Printed edition: |
| International Standard Book Number |
9783764372644 0 |
| 830 ## - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Advanced Courses in Mathematics CRM Barcelona, Centre de Recerca Matem�tica40 |
