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
Ochiq kirishYashil
ABI
Annotatsiya
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.
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