Israel Journal of Mathematics

, Volume 76, Issue 1–2, pp 161–182 | Cite as

Almost sure convergence theorems in von Neumann algebras

  • M. S. Goldstein
  • G. Ya. Grabarnik
Article
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Revised:

Abstract

The subadditive sequences of operators which belong to a von Neumann algebra with a faithful normal state and a given positive linear kernel are considered. We prove the almost sure convergence in Egorov’s sense for such sequences.

Keywords

Conditional Expectation Operator Algebra Ergodic Theorem Selfadjoint Operator Strong Limit Theorem 
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Copyright information

© Hebrew University 1991

Authors and Affiliations

  • M. S. Goldstein
    • 1
  • G. Ya. Grabarnik
    • 2
  1. 1.Department of MathematicsBen-Gurion University of the NegevBeer ShevaIsrael
  2. 2.Institute of MathematicsThe Hebrew University of JerusalemJerusalemIsrael

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