A course in functional analysis
Author(s)
Bibliographic Information
A course in functional analysis
(Graduate texts in mathematics, 96)
Springer-Verlag, c1990
2nd ed
- : us
- : gw
- : softcover
Available at 104 libraries
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Note
Bibliography: p. [384]-389
Includes index
Description and Table of Contents
- Volume
-
: us ISBN 9780387972459
Description
This book is an introductory text in functional analysis. Unlike many modern treatments, it begins with the particular and works its way to the more general.
From the reviews: "This book is an excellent text for a first graduate course in functional analysis....Many interesting and important applications are included....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
Table of Contents
1: Hilbert Spaces. 2: Operators on Hilbert Space. 3: Banach Spaces. 4: Locally Convex Spaces. 5: Weak Topologies. 6: Linear Operators on a Banach Space. 7: Banach Algebras and Spectral Theory for Operators on a Banach Space. 8: C^* Algebras. 9: Normal Operators on Hilbert Space. 10: Unbounded Operators. 11: Fredholm Theory.
- Volume
-
: softcover ISBN 9781441930927
Description
This book is an introductory text in functional analysis. Unlike many modern treatments, it begins with the particular and works its way to the more general.
From the reviews: "This book is an excellent text for a first graduate course in functional analysis....Many interesting and important applications are included....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
Table of Contents
1: Hilbert Spaces. 2: Operators on Hilbert Space. 3: Banach Spaces. 4: Locally Convex Spaces. 5: Weak Topologies. 6: Linear Operators on a Banach Space. 7: Banach Algebras and Spectral Theory for Operators on a Banach Space. 8: C^* Algebras. 9: Normal Operators on Hilbert Space. 10: Unbounded Operators. 11: Fredholm Theory.
- Volume
-
: gw ISBN 9783540972457
Description
This book is intended as a textbook for a one term course on functional analysis for graduate students. Unlike most modern treatments, this book starts from the particular and works its way up to the more general, thus promoting greater intuition in the reader. Appeal to the intuition of the student is aided by a wide variety of examples and exercises. In this new second edition, the chapter on Fredholm Theory has been completely rewritten and simplified. Additionally, numerous new exercises, comments and bibliographical notes have been included throughout the text.
Table of Contents
1: Hilbert Spaces. 2: Operators on Hilbert Space. 3: Banach Spaces. 4: Locally Convex Spaces. 5: Weak Topologies. 6: Linear Operators on a Banach Space. 7: Banach Algebras and Spectral Theory for Operators on a Banach Space. 8: C^* Algebras. 9: Normal Operators on Hilbert Space. 10: Unbounded Operators. 11: Fredholm Theory.
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