On compactness in spaces of Bochner integrable functions

DOI10.1023/A:1006721122987zbMath0926.46031OpenAlexW1579410508MaRDI QIDQ1307407

Santiago Díaz, Fernando Mayoral

Publication date: 31 October 1999

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1006721122987

zbMATH Keywords

Bochner integrable functionBocce oscillationnorm compactnessPettis measurability theorem

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10)

Related Items (6)

Compactness and Vitali's compactness criterion in vector-valued \(F\)-seminormed function spaces ⋮ Remark on norm compactness in \(L^p(\mu,X)\) ⋮ A quantitative version of the Kolmogorov-Riesz theorem ⋮ Compactness in vector-valued Banach function spaces ⋮ Compactness in the Lebesgue-Bochner spaces \(L^p({\mu};X)\) ⋮ Compactness in Lebesgue–Bochner spaces of random variables and the existence of mean-square random attractors

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