Automatic Continuity of Linear Operators
Automatic Continuity of Linear Operators
Allan M. Sinclair
March 2011
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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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March 2011Adobe eBook Reader
9780511891823
0 pages
0kg
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.
