English

Local ergodic theorems in symmetric spaces of measurable operators

Functional Analysis 2018-05-08 v1

Abstract

Local mean and individual (with respect to almost uniform convergence in Egorov's sense) ergodic theorems are established for actions of the semigroup R+d\mathbb R_+^d in symmetric spaces of measurable operators associated with a semifinite von Neumann algebra.

Keywords

Cite

@article{arxiv.1805.02614,
  title  = {Local ergodic theorems in symmetric spaces of measurable operators},
  author = {Vladimir Chilin and Semyon Litvinov},
  journal= {arXiv preprint arXiv:1805.02614},
  year   = {2018}
}