Normed Algebras

book and to the publisher NOORDHOFF who made possible the appearance of the second edition and enabled the author to introduce the above-mentioned modifi­ cations and additions. Moscow M. A. NAIMARK August 1963 FOREWORD TO THE SECOND SOVIET EDITION In this second edition the initial text has been wo...

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Bibliographic Details
Main Author: Naimark, M.A.
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 1972, 1972
Edition:1st ed. 1972
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • § 19. Indecomposable functionals and irreducible representations
  • § 20. Application to commutative symmetric algebras
  • § 21. Generalized Schur lemma
  • § 22. Some representations of the algebra
  • I Basic Ideas from Topology and Functional Analysis
  • § 1. Linear spaces
  • § 2. Topological spaces
  • § 3. Topological linear spaces
  • § 4. Normed spaces
  • § 5. Hilbert space
  • § 6. Integration on locally compact spaces
  • II Fundamental Concepts and Propositions in the Theory of Normed Algebras
  • § 7. Fundamental algebraic concepts
  • § 8. Topological algebras
  • § 9. Normed algebras
  • § 10. Symmetric algebras
  • III Commutative Normed Algebras
  • § 11. Realization of a commutative normed algebra in the form of an algebra of functions
  • § 12. Homomorphism and isomorphism of commutative algebras
  • § 13. Algebra (or Shilov) boundary
  • § 14. Completely symmetric commutative algebras
  • § 15. Regular algebras
  • § 16. Completely regular commutative algebras
  • IV Representations of Symmetric Algebras
  • § 17. Fundamental concepts and propositions in the theory of representations
  • § 18. Embedding of a symmetric algebra in an algebra of operators