Local ergodic theorems in symmetric spaces of measurable operators

Vladimir Chilin; Semyon Litvinov

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arXiv · 1805.02614

Local ergodic theorems in symmetric spaces of measurable operators

Vladimir Chilin·Semyon Litvinov

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Abstract

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

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BibTeX RIS

Vladimir Chilin, Semyon Litvinov. 2018-05-07. Local ergodic theorems in symmetric spaces of measurable operators. https://arxiv.org/abs/1805.02614

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