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Automatic Continuity of Linear Operators


Part of London Mathematical Society Lecture Note Series

  • Date Published: February 1976
  • availability: Available
  • format: Paperback
  • isbn: 9780521208307

£ 24.99

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About the Authors
  • 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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    Product details

    • Date Published: February 1976
    • format: Paperback
    • isbn: 9780521208307
    • length: 100 pages
    • dimensions: 228 x 153 x 7 mm
    • weight: 0.158kg
    • availability: Available
  • Table of Contents

    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

  • Author

    Allan M. Sinclair

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