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Author Megginson, Robert E.

Title An introduction to Banach space theory / Robert E. Megginson.

Published New York : Springer, [1998]


Location Call No. Status
 UniM ERC  515.732 MEGG    AVAILABLE
Physical description xix, 596 pages : illustrations ; 24 cm.
Series Graduate texts in mathematics ; 183.
Graduate texts in mathematics ; 183.
Bibliography Includes bibliographical references (pages [547]-564) and index.
Contents 1. Basic Concepts -- 2. The Weak and Weak* Topologies -- 3. Linear Operators -- 4. Schauder Bases -- 5. Rotundity and Smoothness -- A. Prerequisites -- B. Metric Spaces -- C. The Spaces l[subscript p] and l[actual symbol not reproducible], 1[less than or equal to]p[less than or equal to][infinity] -- D. Ultranets.
Summary This book is an introduction to the general theory of Banach spaces, designed to prepare the reader with a background in functional analysis that will enable him or her to tackle more advanced literature in the subject. The book is replete with examples, historical notes, and citations, as well as nearly 500 exercises.
Subject Banach spaces.
ISBN 0387984313 (acid-free paper)