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A stochastic Ergodic Theorem in Von-Neumann algebras


A A Tijani

Abstract



In this paper we introduce the notion of stochastic convergence of τ- measurable operators and prove a noncommutative extension of pointwise ergodic theorem of G. D. Birkhoff by means of it by using the techniques developed by Petz in [12]

Journal of the Nigerian Association of Mathematical Physics Vol. 9 2005: pp. 37-42

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eISSN: 1116-4336