Introduction to Banach algebras operators and harmonic analysis 1st Edition by Garth Dales, Pietro Aiena, Jörg Eschmeier, Kjeld Laursen, George Willis 9780511075636 0511075634 by Dales H.g., Et Al. 9780521828932, 0521828937 instant download after payment.

Introduction to Banach algebras operators and harmonic analysis 1st Edition by Garth Dales, Pietro Aiena, Jörg Eschmeier, Kjeld Laursen, George Willis - Ebook PDF Instant Download/Delivery: 9780511075636, 0511075634

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Product details:

ISBN 10: 0511075634

ISBN 13: 9780511075636

Author: H. Garth Dales; Pietro Aiena; Jörg Eschmeier; Kjeld Laursen; George A. Willis

This work has arisen from lecture courses given by the authors on important topics within functional analysis. The authors, who are all leading researchers, give introductions to their subjects at a level ideal for beginning graduate students, and others interested in the subject. The collection has been carefully edited so as to form a coherent and accessible introduction to current research topics. The first chapter by Professor Dales introduces the general theory of Banach algebras, which serves as a background to the remaining material. Dr Willis then studies a centrally important Banach algebra, the group algebra of a locally compact group. The remaining chapters are devoted to Banach algebras of operators on Banach spaces: Professor Eschmeier gives all the background for the exciting topic of invariant subspaces of operators, and discusses some key open problems; Dr Laursen and Professor Aiena discuss local spectral theory for operators, leading into Fredholm theory.

Table of contents:

Part I: Banach Algebras

1. Definitions and Examples

2. Ideals and the Spectrum

3. Gelfand Theory

4. The Functional Calculus

5. Automatic Continuity of Homomorphisms

6. Modules and Derivations

7. Cohomology

Part II: Harmonic Analysis and Amenability

8. Locally Compact Groups

9. Group Algebras and Representations

10. Convolution Operators

11. Amenable Groups

12. Harmonic Analysis and Automatic Continuity

Part III: Invariant Subspaces

13. Compact Operators

14. Unitary Dilations and the H-Functional Calculus

15. Hyperinvariant Subspaces

16. Invariant Subspaces for Contractions

17. Invariant Subspaces for Subnormal Operators

18. Invariant Subspaces for Subdecomposable Operators

19. Reflexivity of Operator Algebras

20. Invariant Subspaces for Commuting Contractions

Part IV: Local Spectral Theory

21. Basic Notions from Operator Theory

22. Classes of Decomposable Operators

23. Duality Theory

24. Preservation of Spectra and Index

25. Multipliers on Commutative Banach Algebras

Part V: Single-Valued Extension Property and Fredholm Theory

26. Semi-Regular Operators

27. The Single-Valued Extension Property

28. SVEP for Semi-Fredholm Operators

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Tags: Garth Dales, Pietro Aiena, Jörg Eschmeier, Banach