A mean ergodic theorem in von-Neumann algebras
Operator Algebras
2013-10-24 v2 Functional Analysis
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.
Keywords
Cite
@article{arxiv.1211.3903,
title = {A mean ergodic theorem in von-Neumann algebras},
author = {Anilesh Mohari},
journal= {arXiv preprint arXiv:1211.3903},
year = {2013}
}
Comments
To appear IDAQP