Automatic Continuity of Linear Operators

Allan M. Sinclair (Autor)

Buch | Softcover

100 Seiten

1976
Cambridge University Press (Verlag)
9780521208307 (ISBN)

Artikel merken

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(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.

Erscheint lt. Verlag	19.2.1976
Reihe/Serie	London Mathematical Society Lecture Note Series
Zusatzinfo	Worked examples or Exercises
Verlagsort	Cambridge
Sprache	englisch
Maße	153 x 228 mm
Gewicht	158 g
Themenwelt	Mathematik / Informatik ► Mathematik
ISBN-13	9780521208307 / 9780521208307
Zustand	Neuware