Uniform differentiability, uniform absolute continuity and the Vitali- Hahn-Saks theorem

DOI10.1216/RMJ-1980-10-3-533zbMath0479.28004OpenAlexW2058181855MaRDI QIDQ1161635

Paul W. Lewis, Russell G. Bilyeu

Publication date: 1980

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-1980-10-3-533

zbMATH Keywords

weak compactnessabsolute continuityuniform differentiabilityspace of Bochner integrable functionsVitali-Hahn-Saks theoremL- spacedifferentiability of the norm in spaces of measures

Mathematics Subject Classification ID

Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Vector-valued set functions, measures and integrals (28B05) Spaces of measures, convergence of measures (28A33) Vector-valued measures and integration (46G10) Spaces of measures (46E27) Abstract differentiation theory, differentiation of set functions (28A15) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

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