| Softcover ISBN: | 978-0-8218-1015-6 |
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| eBook ISBN: | 978-1-4704-3164-8 |
| Product Code: | COLL/15.E |
| List Price: | $89.00 |
| MAA Member Price: | $80.10 |
| AMS Member Price: | $71.20 |
| Softcover ISBN: | 978-0-8218-1015-6 |
| eBook: ISBN: | 978-1-4704-3164-8 |
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| List Price: | $188.00 $143.50 |
| MAA Member Price: | $169.20 $129.15 |
| AMS Member Price: | $150.40 $114.80 |
| Softcover ISBN: | 978-0-8218-1015-6 |
| Product Code: | COLL/15 |
| List Price: | $99.00 |
| MAA Member Price: | $89.10 |
| AMS Member Price: | $79.20 |
| eBook ISBN: | 978-1-4704-3164-8 |
| Product Code: | COLL/15.E |
| List Price: | $89.00 |
| MAA Member Price: | $80.10 |
| AMS Member Price: | $71.20 |
| Softcover ISBN: | 978-0-8218-1015-6 |
| eBook ISBN: | 978-1-4704-3164-8 |
| Product Code: | COLL/15.B |
| List Price: | $188.00 $143.50 |
| MAA Member Price: | $169.20 $129.15 |
| AMS Member Price: | $150.40 $114.80 |
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Book DetailsColloquium PublicationsVolume: 15; 1932; 622 ppMSC: Primary 47
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Table of Contents
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Chapters
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Chapter I. Abstract Hilbert space and its realizations
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Chapter II. Transformations in Hilbert space
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Chapter III. Examples of linear transformations
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Chapter IV. Resolvents, spectra, reducibility
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Chapter V. Self-adjoint transformations
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Chapter VI. The operational calculus
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Chapter VII. The unitary equivalence of self-adjoint transformations
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Chapter VIII. General types of linear transformations
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Chapter IX. Symmetric Transformations
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Chapter X. Applications
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Reviews
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This book [a 1990 reprint of the 1932 original] is a classic by now.
Mathematical Reviews -
The author has set himself the task of giving a thorough and systematic exposition of the main features of the theory, based on his own investigations, but also containing the principal results of Carleman and von Neumann.
Professor Stone has done us a real service by providing a clear, systematic, and readable account of this important theory which is still in statu nascendi. The book is not always easy reading, but the author is fair to the reader: nothing essential is withheld, the terminology is clearly defined and strictly adhered to, there are enough facts provided for the imagination to feed on, but no loose statements.
Bulletin of the AMS
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Reviews
- Requests
-
Chapters
-
Chapter I. Abstract Hilbert space and its realizations
-
Chapter II. Transformations in Hilbert space
-
Chapter III. Examples of linear transformations
-
Chapter IV. Resolvents, spectra, reducibility
-
Chapter V. Self-adjoint transformations
-
Chapter VI. The operational calculus
-
Chapter VII. The unitary equivalence of self-adjoint transformations
-
Chapter VIII. General types of linear transformations
-
Chapter IX. Symmetric Transformations
-
Chapter X. Applications
-
This book [a 1990 reprint of the 1932 original] is a classic by now.
Mathematical Reviews -
The author has set himself the task of giving a thorough and systematic exposition of the main features of the theory, based on his own investigations, but also containing the principal results of Carleman and von Neumann.
Professor Stone has done us a real service by providing a clear, systematic, and readable account of this important theory which is still in statu nascendi. The book is not always easy reading, but the author is fair to the reader: nothing essential is withheld, the terminology is clearly defined and strictly adhered to, there are enough facts provided for the imagination to feed on, but no loose statements.
Bulletin of the AMS
