Graduate Texts in Mathematics
cover

A Course in Functional Analysis

Autoren: Conway, J.B.

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Über dieses Lehrbuch

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.

Über die Autor*innen

    

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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

From the reviews of the second edition:

“This book should be in the library of anyone teaching functional analysis or who wants a working mathematician’s masterfully developed course on functional analysis … . This book is a comprehensive introduction to functional analysis. … I definitely recommend this book to anyone who really want/need to learn true functional analysis for graduate work.” (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, October, 2013)


Inhaltsverzeichnis (11 Kapitel)

Inhaltsverzeichnis (11 Kapitel)
  • Hilbert Spaces

    Seiten 1-25

    Conway, John B.

  • Operators on Hilbert Space

    Seiten 26-62

    Conway, John B.

  • Banach Spaces

    Seiten 63-98

    Conway, John B.

  • Locally Convex Spaces

    Seiten 99-123

    Conway, John B.

  • Weak Topologies

    Seiten 124-165

    Conway, John B.

Dieses Buch kaufen

eBook 58,84 €
Preis für Deutschland (Brutto)
  • ISBN 978-1-4757-4383-8
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 67,36 €
Preis für Deutschland (Brutto)
Softcover 74,89 €
Preis für Deutschland (Brutto)
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Bibliografische Information

Bibliographic Information
Buchtitel
A Course in Functional Analysis
Autoren
Titel der Buchreihe
Graduate Texts in Mathematics
Buchreihen Band
96
Copyright
2007
Verlag
Springer-Verlag New York
Copyright Inhaber
Springer-Verlag New York
eBook ISBN
978-1-4757-4383-8
DOI
10.1007/978-1-4757-4383-8
Hardcover ISBN
978-0-387-97245-9
Softcover ISBN
978-1-4419-3092-7
Buchreihen ISSN
0072-5285
Auflage
2
Seitenzahl
XVI, 400
Themen