Local Ergodic Theorems in Symmetric Spaces of Measurable Operators

Vladimir Chilin, Semyon Litvinov

Research output: Contribution to journalArticle

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 in symmetric spaces of measurable operators associated with a semifinite von Neumann algebra.

Original languageEnglish (US)
Article number15
JournalIntegral Equations and Operator Theory
Volume91
Issue number2
DOIs
StatePublished - Apr 1 2019

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Almost Convergence
Ergodic Theorem
Von Neumann Algebra
Uniform convergence
Symmetric Spaces
Semigroup
Operator

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory

Cite this

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title = "Local Ergodic Theorems in Symmetric Spaces of Measurable Operators",
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 in symmetric spaces of measurable operators associated with a semifinite von Neumann algebra.",
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Local Ergodic Theorems in Symmetric Spaces of Measurable Operators. / Chilin, Vladimir; Litvinov, Semyon.

In: Integral Equations and Operator Theory, Vol. 91, No. 2, 15, 01.04.2019.

Research output: Contribution to journalArticle

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