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An Introduction to Banach Space Theory

  • Textbook
  • © 1998

Overview

Authors:
  1. Robert E. Megginson

    1. Mathematics Department, University of Michigan, Ann Arbor, USA

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Part of the book series: Graduate Texts in Mathematics (GTM, volume 183)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xix
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  2. Basic Concepts

    • Robert E. Megginson
    Pages 1-136

  3. The Weak and Weak Topologies

    • Robert E. Megginson
    Pages 137-281

  4. Linear Operators

    • Robert E. Megginson
    Pages 283-347

  5. Schauder Bases

    • Robert E. Megginson
    Pages 349-423

  6. Rotundity and Smoothness

    • Robert E. Megginson
    Pages 425-516

  7. Back Matter

    Pages 517-599
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Keywords

About this book

Many important reference works in Banach space theory have appeared since Banach's "Théorie des Opérations Linéaires", the impetus for the development of much of the modern theory in this field. While these works are classical starting points for the graduate student wishing to do research in Banach space theory, they can be formidable reading for the student who has just completed a course in measure theory and integration that introduces the L_p spaces and would like to know more about Banach spaces in general. The purpose of this book is to bridge this gap and provide an introduction to the basic theory of Banach spaces and functional analysis. It prepares students for further study of both the classical works and current research. It is accessible to students who understand the basic properties of L_p spaces but have not had a course in functional analysis. The book is sprinkled liberally with examples, historical notes, and references to original sources. Over 450 exercises provide supplementary examples and counterexamples and give students practice in the use of the results developed in the text.

Authors and Affiliations

  • Mathematics Department, University of Michigan, Ann Arbor, USA

    Robert E. Megginson

Bibliographic Information

  • Book Title: An Introduction to Banach Space Theory

  • Authors: Robert E. Megginson

  • Series Title: Graduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-0603-3

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1998

  • Hardcover ISBN: 978-0-387-98431-5Published: 09 October 1998

  • Softcover ISBN: 978-1-4612-6835-2Published: 17 October 2012

  • eBook ISBN: 978-1-4612-0603-3Published: 06 December 2012

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 1

  • Number of Pages: XIX, 599

  • Topics: Analysis, Mathematical Methods in Physics, Numerical and Computational Physics, Simulation

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