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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Chilin, V., Litvinov, S. Local Ergodic Theorems in Symmetric Spaces of Measurable Operators. Integr. Equ. Oper. Theory 91, 15 (2019). https://doi.org/10.1007/s00020-019-2519-1
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DOI: https://doi.org/10.1007/s00020-019-2519-1