عنوان

Banach space theory

شابک

9781441975140 (hbk.)

کد کشور

IR

شماره

EN-53792

زبان متن نوشتاري يا گفتاري و مانند آن

انگلیسی

کشور محل نشر

IR

عنوان اصلي

Banach space theory

نام عام مواد

[Book]

ساير اطلاعات عنواني

:the basis for linear and nonlinear analysis

نام نخستين پديدآور

/ Mariaan Fabian ... [et al.]

محل نشرو پخش و غیره

New York

نام ناشر، پخش کننده و غيره

: Springer,

تاریخ نشرو بخش و غیره

, c2011.

نام خاص و کميت اثر

xiii, 820 p. , ill. , 24 cm.

عنوان فروست

(CMS books in mathematics,1613-5237)

متن يادداشت

Electronic

متن يادداشت

Includes bibliographical references (p. 751-775) and indexes.

متن يادداشت

Basic concepts in Banach spaces -- Hahn-Banach and Banach open mapping theorems -- Weak topologies and Banach spaces -- Schauder bases -- Structure of Banach spaces -- Finite-dimensional spaces -- Optimization -- C p1 s-smoothness in separable spaces -- Superreflexive spaces -- Higher order smoothness -- Dentability and differentiability -- Basics in nonlinear geometric analysis -- Weakly compactly generated spaces -- Topics in weak topologies on Banach spaces -- Compact operators on Banach spaces -- Tensor products -- Appendix: Basics in topology -- Nets and filters -- Nets and filters in topological spaces -- Ultraproducts -- The order topology on the ordinals -- Continuity of set-valued mappings -- The cantor space -- Baire's great theorem -- Polish spaces -- Uniform spaces -- Nets and filters in uniform spaces -- Partitions of unity -- Measure and integral -- Continued fractions and the representation of the irrational numbers.

متن يادداشت

Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory. Key Features: - Develops classical theory, including weak topologies, locally convex space, Schauder bases and compact operator theory - Covers Radon-Nikodaym property, finite-dimensional spaces and local theory on tensor products - Contains sections on uniform homeomorphisms and non-linear theory, Rosenthal's L b1 s theorem, fixed points, and more - Includes information about further topics and directions of research and some open problems at the end of each chapter - Provides numerous exercises for practice. The text is suitable for graduate courses or for independent study. Prerequisites include basic courses in calculus and linear. Researchers in functional analysis will also benefit for this book as it can serve as a reference book.

عنوان

CMS books in mathematics

موضوع مستند نشده

Banach spaces

شماره رده

مستند نام اشخاص تاييد نشده

Fabian, Mariaan J

کشور

ایران

نام ميزبان

9781441975140.pdf

شماره دسترسي

عادی

اطلاعات مختصر

عادی

تاريخ و ساعت مذاکره و دسترسي

9781441975140.pdf

نوع فرمت الکترونيکي

متن

وضعیت فهرست نویسی

old catalog

فرمت انتشار

e

نوع ماده

BL

پیشوند ISBD اعمال شده است

1

سطح دسترسي

a

تكميل شده

Y