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Lyapunov theorems for operator algebras

About this Title

Charles A. Akemann and Joel Anderson

Publication: Memoirs of the American Mathematical Society
Publication Year: 1991; Volume 94, Number 458
ISBNs: 978-0-8218-2516-7 (print); 978-1-4704-0884-8 (online)
DOI: https://doi.org/10.1090/memo/0458
MathSciNet review: 1086563
MSC: Primary 46Lxx; Secondary 28B05, 46G10, 49N65

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Table of Contents

Chapters

  • 0. Introduction and notation
  • 1. An abstract Lyapunov theorem
  • 2. Lyapunov theorems for nonatomic von Neumann algebras
  • 3. Lyapunov theorems for $\mathbf {C}^*$-algebras
  • 4. Lyapunov theorems for atomic von Neumann algebras
  • 5. Simultaneous approximations
  • 6. Lyapunov theorems for singular maps
  • 7. Noncommutative range
  • 8. Applications to the paving problem