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Locally Multiplicatively-Convex Topological Algebras.

By: Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1952Copyright date: ©1952Edition: 1st edDescription: 1 online resource (85 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780821899069
Subject(s): Genre/Form: Additional physical formats: Print version:: Locally Multiplicatively-Convex Topological AlgebrasLOC classification:
  • QA326.M53 1952
Online resources:
Contents:
Intro -- Introduction -- Introduction to second printing -- Supplementary Bibliography -- 1. Idempotent and m-convex sets -- 2. Definition and fundamental properties of locally m-convex algebras -- 3. Examples of complete locally m-convex algebras of complex-valued functions -- 4. F-algebras and their relatives -- 5. Complete locally m-convex algebras -- 6. Multiplicative linear functionals and symmetry -- 7. Miscellaneous relations between A and {A[sub(i)]} -- 8. Functional representation theory -- 9. Closed regular maximal one sided ideals -- 10. Some theorems of Gelfand -- 11. Topological divisors of zero -- 12. Continuity of multiplicative linear functionals -- 13. Elements with bounded spectrum -- 14. Uniqueness of topology -- 15. LF-algebras -- Appendix A -- Appendix B -- Appendix C -- Appendix D and E -- Bibliography.
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Intro -- Introduction -- Introduction to second printing -- Supplementary Bibliography -- 1. Idempotent and m-convex sets -- 2. Definition and fundamental properties of locally m-convex algebras -- 3. Examples of complete locally m-convex algebras of complex-valued functions -- 4. F-algebras and their relatives -- 5. Complete locally m-convex algebras -- 6. Multiplicative linear functionals and symmetry -- 7. Miscellaneous relations between A and {A[sub(i)]} -- 8. Functional representation theory -- 9. Closed regular maximal one sided ideals -- 10. Some theorems of Gelfand -- 11. Topological divisors of zero -- 12. Continuity of multiplicative linear functionals -- 13. Elements with bounded spectrum -- 14. Uniqueness of topology -- 15. LF-algebras -- Appendix A -- Appendix B -- Appendix C -- Appendix D and E -- Bibliography.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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