عنوان

Ramsey methods in analysis /

شابک

0817672648

شابک

1281349240

شابک

3764372648

شابک

3764373601

شابک

9780817672645

شابک

9781281349248

شابک

9783764372644

شابک

9783764373603

شماره

b713211

عنوان اصلي

Ramsey methods in analysis /

نام عام مواد

[Book]

نام نخستين پديدآور

Spiros A. Argyros, Stevo Todorcevic.

محل نشرو پخش و غیره

Boston :

نام ناشر، پخش کننده و غيره

Birkhäuser,

تاریخ نشرو بخش و غیره

©2005.

نام خاص و کميت اثر

1 online resource (257 pages) :

ساير جزييات

illustrations

عنوان فروست

Advanced courses in mathematics, CRM Barcelona

متن يادداشت

Includes bibliographical references (pages 247-252) and index.

متن يادداشت

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.

بدون عنوان

0

متن يادداشت

"This book introduces graduate students and researchers 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."--Jacket.

منبع سفارش / آدرس اشتراک

MIL

شماره انبار

134924

عنوان

Ramsey methods in analysis.

موضوع مستند نشده

Normed linear spaces.

موضوع مستند نشده

Ramsey theory.

موضوع مستند نشده

Set theory.

موضوع مستند نشده

Análise funcional.

موضوع مستند نشده

Análise funcional.

موضوع مستند نشده

Geometria de espaços de banach.

موضوع مستند نشده

Geometria de espaços de banach.

موضوع مستند نشده

Normed linear spaces.

موضوع مستند نشده

Normed linear spaces.

موضوع مستند نشده

Ramsey theory.

موضوع مستند نشده

Ramsey theory.

موضوع مستند نشده

Set theory.

موضوع مستند نشده

Set theory.

موضوع مستند نشده

MAT037000

موضوع مستند نشده

PBKF

موضوع مستند نشده

QA

شماره

ويراست

شماره رده

نشانه اثر

شماره رده

شماره رده

کد سيستم

کد سيستم

مستند نام اشخاص تاييد نشده

Argyros, S., (Spiros),1950-

مستند نام اشخاص تاييد نشده

Todorcevic, Stevo.

تاريخ عمليات

20201208033910.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y