• ВХОД

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    Полное описание

    Banach Space Theory : the Basis for Linear and Nonlinear Analysis / by Marián Fabian, Petr Habala, Petr Hájek [et al.]. - New York, NY : Springer, 2011. - on-line. - (CMS Books in Mathematics, Ouvrages de mathématiques de la SMC, ISSN 1613-5237). - URL: http://dx.doi.org/10.1007/978-1-4419-7515-7. - Загл. с экрана. - ISBN 978-1-4419-7515-7. - Текст : электронный.
    Содержание:
    Preface -- 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

    ГРНТИ УДК
    27.39.15517.982
    27.39.27517.988

    Рубрики:
    mathematics
    functional analysis
    topology
    mathematics
    functional Analysis
    topology

    Аннотация: 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-Nikodým property, finite-dimensional spaces and local theory on tensor products - Contains sections on uniform homeomorphisms and non-linear theory, Rosenthal's L1 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.
    Доп. точки доступа:
    Fabian, M.
    Habala, P.
    Hájek, P.
    Montesinos, V.
    Zizler, V.

    http://dx.doi.org/10.1007/978-1-4419-7515-7


    Держатели документа:
    Государственная публичная научно-техническая библиотека России : 123298, г. Москва, ул. 3-я Хорошевская, д. 17 (Шифр в БД-источнике (KATBW): -402591138)

    Шифр в сводном ЭК: 3d22a65389ab6bc5b9f28c66e2667a66



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