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| Softcover ISBN: | 978-0-8218-1031-6 |
| eBook: ISBN: | 978-0-8218-3395-7 |
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| AMS Member Price: | $150.40 $114.80 |
| Softcover ISBN: | 978-0-8218-1031-6 |
| Product Code: | COLL/31 |
| List Price: | $99.00 |
| MAA Member Price: | $89.10 |
| AMS Member Price: | $79.20 |
| eBook ISBN: | 978-0-8218-3395-7 |
| Product Code: | COLL/31.E |
| List Price: | $89.00 |
| MAA Member Price: | $80.10 |
| AMS Member Price: | $71.20 |
| Softcover ISBN: | 978-0-8218-1031-6 |
| eBook ISBN: | 978-0-8218-3395-7 |
| Product Code: | COLL/31.B |
| List Price: | $188.00 $143.50 |
| MAA Member Price: | $169.20 $129.15 |
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Book DetailsColloquium PublicationsVolume: 31; 1996; 808 ppMSC: Primary 57
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Table of Contents
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Part one. Functional analysis
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Chapter 1. Abstract spaces
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Chapter 2. Linear transformations
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Chapter 3. Vector-valued functions
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Chapter 4. Banach algebras
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Chapter 5. Analysis in a Banach algebra
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Chapter 6. Laplace integrals and binomial series
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Part two. Basic propoerties of semi-groups
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Chapter 7. Subadditive functions
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Chapter 8. Semi-modules
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Chapter 9. Addition theorem in a Banach algebra
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Chapter 10. Semi-groups in the strong topology
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Chapter 11. Generator and resolvent
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Chapter 12. Generation of semi-groups
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Part three. Advanced analytical theory of semi-groups
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Chapter 13. Perturbation theory
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Chapter 14. Adjoint theory
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Chapter 15. Operational calculus
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Chapter 16. Spectral theory
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Chapter 17. Holomorphic semi-groups
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Chapter 18. Applications to ergodic theory
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Part four. Special semi-groups and applications
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Chapter 19. Translations and powers
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Chapter 20. Trigonometric semi-groups
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Chapter 21. Semi-groups in $L_p(-\infty ,\infty )$
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Chapter 22. Semi-groups in Hilbert space
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Chapter 23. Miscellaneous applications
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Part five. Extensions of the theory
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Chapter 24. Notes on Banach algebras
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Chapter 25. Lie semi-groups
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Chapter 26. Functions on vectors to vectors
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Reviews
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This book is devoted to the study of semigroups (associative multiplicative systems for which no cancellation rules are postulated) and their linear representations in Banach spaces. Commutative semigroups receive generous but not exclusive attention.
M. H. Stone -
This volume is a revised edition, with Phillips as co-author, of the well-known book of Hille under the same title. The revision is a thorough one, involving rearrangement, the addition of new background material, and the incorporation of many new results. Each part and each chapter commences with a summary, and each chapter closes with a short list of general references to the bibliography presented at the end of the book. Other references are liberally supplied in the body of the text. There is an extensive index.
Mathematical Reviews
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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
-
Part one. Functional analysis
-
Chapter 1. Abstract spaces
-
Chapter 2. Linear transformations
-
Chapter 3. Vector-valued functions
-
Chapter 4. Banach algebras
-
Chapter 5. Analysis in a Banach algebra
-
Chapter 6. Laplace integrals and binomial series
-
Part two. Basic propoerties of semi-groups
-
Chapter 7. Subadditive functions
-
Chapter 8. Semi-modules
-
Chapter 9. Addition theorem in a Banach algebra
-
Chapter 10. Semi-groups in the strong topology
-
Chapter 11. Generator and resolvent
-
Chapter 12. Generation of semi-groups
-
Part three. Advanced analytical theory of semi-groups
-
Chapter 13. Perturbation theory
-
Chapter 14. Adjoint theory
-
Chapter 15. Operational calculus
-
Chapter 16. Spectral theory
-
Chapter 17. Holomorphic semi-groups
-
Chapter 18. Applications to ergodic theory
-
Part four. Special semi-groups and applications
-
Chapter 19. Translations and powers
-
Chapter 20. Trigonometric semi-groups
-
Chapter 21. Semi-groups in $L_p(-\infty ,\infty )$
-
Chapter 22. Semi-groups in Hilbert space
-
Chapter 23. Miscellaneous applications
-
Part five. Extensions of the theory
-
Chapter 24. Notes on Banach algebras
-
Chapter 25. Lie semi-groups
-
Chapter 26. Functions on vectors to vectors
-
This book is devoted to the study of semigroups (associative multiplicative systems for which no cancellation rules are postulated) and their linear representations in Banach spaces. Commutative semigroups receive generous but not exclusive attention.
M. H. Stone -
This volume is a revised edition, with Phillips as co-author, of the well-known book of Hille under the same title. The revision is a thorough one, involving rearrangement, the addition of new background material, and the incorporation of many new results. Each part and each chapter commences with a summary, and each chapter closes with a short list of general references to the bibliography presented at the end of the book. Other references are liberally supplied in the body of the text. There is an extensive index.
Mathematical Reviews
