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Automatic Continuity of Linear Operators de Allan M. Sinclair

Automatic Continuity of Linear Operators: London Mathematical Society Lecture Note Series, cartea 21

Autor Allan M. Sinclair
en Limba Engleză Paperback – 18 feb 1976
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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Specificații

ISBN-13: 9780521208307
ISBN-10: 0521208300
Pagini: 100
Dimensiuni: 153 x 228 x 7 mm
Greutate: 0.16 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria London Mathematical Society Lecture Note Series

Locul publicării:Cambridge, United Kingdom

Cuprins

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.

Descriere

Some of the results on automatic continuity of intertwining operators and homomorphisms that were obtained between 1960 and 1973 are collected here.