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A Course in Functional Analysis

  • Textbook
  • © 1985

Overview

Authors:
  1. John B. Conway

    1. Department of Mathematics, Indiana University, Bloomington, USA

Part of the book series: Graduate Texts in Mathematics (GTM, volume 96)

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About this book

Functional analysis has become a sufficiently large area of mathematics that it is possible to find two research mathematicians, both of whom call themselves functional analysts, who have great difficulty understanding the work of the other. The common thread is the existence of a linear space with a topology or two (or more). Here the paths diverge in the choice of how that topology is defined and in whether to study the geometry of the linear space, or the linear operators on the space, or both. In this book I have tried to follow the common thread rather than any special topic. I have included some topics that a few years ago might have been thought of as specialized but which impress me as interesting and basic. Near the end of this work I gave into my natural temptation and included some operator theory that, though basic for operator theory, might be considered specialized by some functional analysts.

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Hilbert Spaces

    • John B. Conway
    Pages 1-25

  3. Operators on Hilbert Space

    • John B. Conway
    Pages 26-64

  4. Banach Spaces

    • John B. Conway
    Pages 65-101

  5. Locally Convex Spaces

    • John B. Conway
    Pages 102-126

  6. Weak Topologies

    • John B. Conway
    Pages 127-169

  7. Linear Operators on a Banach Space

    • John B. Conway
    Pages 170-190

  8. Banach Algebras and Spectral Theory for Operators on a Banach Space

    • John B. Conway
    Pages 191-236

  9. C*-Algebras

    • John B. Conway
    Pages 237-260

  10. Normal Operators on Hilbert Space

    • John B. Conway
    Pages 261-309

  11. Unbounded Operators

    • John B. Conway
    Pages 310-352

  12. Fredholm Theory

    • John B. Conway
    Pages 353-374

  13. Back Matter

    Pages 375-406
    Download chapter PDF
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Reviews

Second Edition

J.B. Conway

A Course in Functional Analysis

"This book is an excellent text for a first graduate course in functional analysis . . . Many interesting and important applications are included . . . This book is a fine piece of work. It includes an abundance of exercises, and is written in the engaging and lucid style which we have come to expect from the author."

—MATHEMATICAL REVIEWS

Authors and Affiliations

  • Department of Mathematics, Indiana University, Bloomington, USA

    John B. Conway

Accessibility Information

PDF accessibility summary

This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at [email protected] if you require assistance or an alternative format.

Bibliographic Information

  • Book Title: A Course in Functional Analysis

  • Authors: John B. Conway

  • Series Title: Graduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4757-3828-5

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York 1985

  • eBook ISBN: 978-1-4757-3828-5Published: 17 April 2013

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 1

  • Number of Pages: XIV, 406

  • Topics: Analysis

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