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Automatic Continuity of Linear Operators Allan M. Sinclair

Automatic Continuity of Linear Operators By Allan M. Sinclair

Automatic Continuity of Linear Operators by Allan M. Sinclair

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Summary

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.

Automatic Continuity of Linear Operators Summary

Automatic Continuity of Linear Operators by Allan M. Sinclair

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.

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( )-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.

Additional information

NLS9780521208307
9780521208307
0521208300
Automatic Continuity of Linear Operators by Allan M. Sinclair
Allan M. Sinclair
London Mathematical Society Lecture Note Series
New
Paperback
Cambridge University Press
1976-02-19
100
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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