Automatic Continuity of Linear Operators

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ISBN: 9780521208307 | 0521208300
Cover: Paperback
Copyright: 2/27/1976

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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.

Technical results
The separating space
Discontinuity points
Intertwining operators
The existence of discontinuous intertwining operators
When R has countable spectrum
Operators intertwining with normal operators
Homomorphisms
Isomorphisms of semisimple Banach algebras
Ring isomorphisms of semisimple Banach algebras
Existence of discontinuous homomorphisms and derivations
Homomorphisms between C(O)-modules
Homomorphisms from C(O)
Homomorphisms into radical Banach algebras
Homomorphisms and derivations from C*-algebras
Linear operators
Positive linear functionals
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

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Automatic Continuity of Linear Operators

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Table of Contents

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