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arXiv · 1211.3903

A mean ergodic theorem in von-Neumann algebras

Anilesh Mohari
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Abstract

We explore a duality between von-Neumann's mean ergodic theorem in von-Neumann algebra and Birkhoff's mean ergodic theorem in the pre-dual Banach space of von-Neumann algebras. Besides improving known mean ergodic theorems on von-Neumann algebras, we prove Birkhoff's mean ergodic theorem for any locally compact second countable amenable group action on the pre-dual Banach space.

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Anilesh Mohari. 2013-10-22. A mean ergodic theorem in von-Neumann algebras. https://arxiv.org/abs/1211.3903

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