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A representation theory for commutative topological algebra

About this Title

Richard V. Kadison

Publication: Memoirs of the American Mathematical Society
Publication Year: 1951; Number 7
ISBNs: 978-0-8218-1207-5 (print); 978-1-4704-0017-0 (online)
DOI: https://doi.org/10.1090/memo/0007
MathSciNet review: 0044040

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Table of Contents

Chapters

  • 1. Introduction
  • 2. The general representation theorem
  • 3. The algebra theorem of Stone
  • 4. The vector lattice theorem
  • 5. The Banach space characterization
  • 6. The Banach algebra representation theorem
  • 7. Polynomial identities on the norm in a Banach algebra
  • 8. Applications to the theory of operator algebras