Automatic Continuity of Linear Operators
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Part of London Mathematical Society Lecture Note Series
- Author: Allan M. Sinclair
- Date Published: March 2011
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
- format: Adobe eBook Reader
- isbn: 9780511891823
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Some of the results on automatic continuity of intertwining operators and homomorphisms that were obtained between 1960 and 1973 are here collected together to provide a detailed discussion of the subject. The book will be appreciated by graduate students of functional analysis who already have a good foundation in this and in the theory of Banach algebras.
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- Date Published: March 2011
- format: Adobe eBook Reader
- isbn: 9780511891823
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
Introduction
Part I. Technical Results:
1. The separating space
2. Discontinuity points
Part II. Intertwining Operators:
3. The existence of discontinuous intertwining operators
4. When R has countable spectrum
5. Operators intertwining with normal operators
Part III. Homomorphisms:
6. Isomorphisms of semisimple Banach algebras
7. Ring isomorphisms of semisimple Banach algebras
8. Existence of discontinuous homomorphisms and derivations
9. Homomorphisms between C(Ω)-modules
10. Homomorphisms from C(Ω)
11. Homomorphisms into radical Banach algebras
12. Homomorphisms and derivations from C*-algebras
Part IV: Linear Operators:
13. Positive linear functionals
Bibliography
Index.
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