Automatic continuity of linear operators
著者
書誌事項
Automatic continuity of linear operators
（London Mathematical Society lecture note series, 21）
Cambridge University Press, 1976
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注記
Bibliography: p. 80-89
Includes index
内容説明・目次
内容説明
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.
目次
- 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( )-modules
- 10. Homomorphisms from C( )
- 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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