ISBN-10:
0521208300
ISBN-13:
9780521208307
Pub. Date:
10/28/2007
Publisher:
Cambridge University Press
Automatic Continuity of Linear Operators

Automatic Continuity of Linear Operators

by Allan M Sinclair, N J Hitchin

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Overview

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.

Product Details

ISBN-13: 9780521208307
Publisher: Cambridge University Press
Publication date: 10/28/2007
Series: London Mathematical Society Lecture Note Series , #21
Pages: 100
Product dimensions: 5.98(w) x 9.02(h) x 0.24(d)

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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