Automatic Continuity of Linear Operators

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

Allan M. Sinclair (Author)

9780521208307, Cambridge University Press

Paperback, published 19 February 1976

100 pages
22.8 x 15.3 x 0.7 cm, 0.158 kg

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.

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.

Subject Areas: Mathematics [PB]