A course in functional analysis

書誌事項

A course in functional analysis

John B. Conway

(Graduate texts in mathematics, 96)

Springer-Verlag, c1990

2nd ed

  • : us
  • : gw
  • : softcover

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注記

Bibliography: p. [384]-389

Includes index

内容説明・目次

巻冊次

: us ISBN 9780387972459

内容説明

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

目次

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.
巻冊次

: softcover ISBN 9781441930927

内容説明

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

目次

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.
巻冊次

: gw ISBN 9783540972457

内容説明

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.

目次

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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詳細情報

  • NII書誌ID(NCID)
    BA11170378
  • ISBN
    • 9780387972459
    • 3540972455
    • 9781441930927
  • LCCN
    90009585
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    New York ; Tokyo
  • ページ数/冊数
    xvi, 399 p.
  • 大きさ
    25 cm
  • 分類
  • 件名
  • 親書誌ID
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