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Product Code:  COLL/31 
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Softcover ISBN:  9780821810316 
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Product Code:  COLL/31.B 
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MAA Member Price:  $169.20 $129.15 
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Softcover ISBN:  9780821810316 
Product Code:  COLL/31 
List Price:  $99.00 
MAA Member Price:  $89.10 
AMS Member Price:  $79.20 
eBook ISBN:  9780821833957 
Product Code:  COLL/31.E 
List Price:  $89.00 
MAA Member Price:  $80.10 
AMS Member Price:  $71.20 
Softcover ISBN:  9780821810316 
eBook ISBN:  9780821833957 
Product Code:  COLL/31.B 
List Price:  $188.00 $143.50 
MAA Member Price:  $169.20 $129.15 
AMS Member Price:  $150.40 $114.80 

Book DetailsColloquium PublicationsVolume: 31; 1996; 808 ppMSC: Primary 57

Table of Contents

Part one. Functional analysis

Chapter 1. Abstract spaces

Chapter 2. Linear transformations

Chapter 3. Vectorvalued functions

Chapter 4. Banach algebras

Chapter 5. Analysis in a Banach algebra

Chapter 6. Laplace integrals and binomial series

Part two. Basic propoerties of semigroups

Chapter 7. Subadditive functions

Chapter 8. Semimodules

Chapter 9. Addition theorem in a Banach algebra

Chapter 10. Semigroups in the strong topology

Chapter 11. Generator and resolvent

Chapter 12. Generation of semigroups

Part three. Advanced analytical theory of semigroups

Chapter 13. Perturbation theory

Chapter 14. Adjoint theory

Chapter 15. Operational calculus

Chapter 16. Spectral theory

Chapter 17. Holomorphic semigroups

Chapter 18. Applications to ergodic theory

Part four. Special semigroups and applications

Chapter 19. Translations and powers

Chapter 20. Trigonometric semigroups

Chapter 21. Semigroups in $L_p(\infty ,\infty )$

Chapter 22. Semigroups in Hilbert space

Chapter 23. Miscellaneous applications

Part five. Extensions of the theory

Chapter 24. Notes on Banach algebras

Chapter 25. Lie semigroups

Chapter 26. Functions on vectors to vectors


Reviews

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 coauthor, of the wellknown 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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Part one. Functional analysis

Chapter 1. Abstract spaces

Chapter 2. Linear transformations

Chapter 3. Vectorvalued functions

Chapter 4. Banach algebras

Chapter 5. Analysis in a Banach algebra

Chapter 6. Laplace integrals and binomial series

Part two. Basic propoerties of semigroups

Chapter 7. Subadditive functions

Chapter 8. Semimodules

Chapter 9. Addition theorem in a Banach algebra

Chapter 10. Semigroups in the strong topology

Chapter 11. Generator and resolvent

Chapter 12. Generation of semigroups

Part three. Advanced analytical theory of semigroups

Chapter 13. Perturbation theory

Chapter 14. Adjoint theory

Chapter 15. Operational calculus

Chapter 16. Spectral theory

Chapter 17. Holomorphic semigroups

Chapter 18. Applications to ergodic theory

Part four. Special semigroups and applications

Chapter 19. Translations and powers

Chapter 20. Trigonometric semigroups

Chapter 21. Semigroups in $L_p(\infty ,\infty )$

Chapter 22. Semigroups in Hilbert space

Chapter 23. Miscellaneous applications

Part five. Extensions of the theory

Chapter 24. Notes on Banach algebras

Chapter 25. Lie semigroups

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 coauthor, of the wellknown 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