A course in functional analysis

John B. Conway

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.

「Nielsen BookData」より

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

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[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.

「Nielsen BookData」より

[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.

「Nielsen BookData」より

この本の情報

書名 A course in functional analysis
著作者等 Conway, John B.
シリーズ名 Graduate texts in mathematics
出版元 Springer-Verlag
刊行年月 c1990
版表示 2nd ed
ページ数 xvi, 399 p.
大きさ 25 cm
ISBN 3540972455
9781441930927
9780387972459
NCID BA11170378
※クリックでCiNii Booksを表示
言語 英語
出版国 アメリカ合衆国
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