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The Banach–Saks property in rearrangement invariant spaces

Peter G. DoddsSchool of Informatics and Engineering Flinders University Bedford Park, SA 5042, AustraliaЭ. М. СеменовDepartment of Mathematics Voronezh State University Universitetskaya pl. 1 Voronezh, 394693, RussiaFedor SukochevSchool of Informatics and Engineering Flinders University Bedford Park, SA 5042, Australia
2004en
ABI

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This paper studies the Banach–Saks property in rearrangement invariant spaces on the positive half-line. A principal result of the paper shows that a separable rearrangement invariant space $E$ with the Fatou property has the Banach–Saks prope

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