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The Mean Ergodic Theorem in symmetric spaces

Fedor SukochevSchool of Mathematics and Statistics University of New South Wales Kensington, 2052, NSW, AustraliaAleksandr VekslerV. I. Romanovskiy Institute of Mathematics Uzbekistan Academy of Sciences Tashkent, Uzbekistan

Studia Mathematicajournal2018en

ABI

Annotatsiya

We investigate the validity of the Mean Ergodic Theorem in a symmetric Banach function space $E$ associated to an atomless Lebesgue probability space $(\Omega , \nu )$. We show that the Mean Ergodic Theorem holds if and only if $E$ is separable. That is,

Mavzular

advanced mathematical theories

Identifikatorlar

DOI: 10.4064/sm170311-31-10

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