Article

Mean ergodic theorem in symmetric spaces

Fedor SukochevSchool of Mathematics and Statistics, University of New South Wales, Kensington, NSW, 2052, AustraliaAleksandr VekslerInstitute of Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan

Comptes Rendus Mathématiquejournal2017en

ABI

Abstract

We investigate the validity of the Mean Ergodic Theorem in symmetric Banach function spaces E . The assertion of that theorem always holds when E is separable, whereas the situation is more delicate when E is non-separable. To describe positive results in the latter setting, we use the connections with the theory of singular traces.

Topics

Advanced Banach Space Theory Advanced Harmonic Analysis Research Fixed Point Theorems Analysis

Identifiers

DOI: 10.1016/j.crma.2017.03.014

Citations and references

Cited by 3 10 references

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