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Statistical Ergodic Theorem in Symmetric Spaces for Infinite Measures

Let (Ω,μ) be a measurable space with σ -finite continuous measure, μ(Ω)=∞. A linear operator T:L1(Ω)+L∞(Ω)→L1(Ω)+L∞(Ω) is called the Dunford-Schwartz operator if ||T(f)||1||f||1 (respectively, ||T(f)||∞||f||∞) for all f∈L1(Ω) (respectively, f∈L∞(Ω)). {Tt}t0is a strongly continuous in L1(Ω) semigroup...

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Bibliografiset tiedot
Päätekijät: A. S. Veksler, V. I. Chilin
Aineistotyyppi: Artigo
Kieli:Inglês
Julkaistu: Peoples’ Friendship University of Russia (RUDN University) 2021-01-01
Sarja:Современная математика: Фундаментальные направления
Linkit:https://journals.rudn.ru/CMFD/article/viewFile/30077/20292
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