Weak precompactness in the space of Pettis integrable functions

DOI10.1016/0022-247X(90)90041-DzbMath0734.46025OpenAlexW3007570909MaRDI QIDQ810824

Kazimierz Musiał\, Giovanni Emmanuele

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(90)90041-d

zbMATH Keywords

necessary and sufficient condition for weak precompactness in the space of Pettis integrable functions with relatively compact range of their indefinite integrals

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Spaces of vector- and operator-valued functions (46E40) Vector-valued measures and integration (46G10) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (1)

Linear operators associated with \(p\)-Dunford, \(p\)-Pettis and \(p\)-Bochner integrable functions with values in a Banach space

Cites Work

• On weak compactness in the space of Pettis integrable functions
• Weak compactness and uniform convergence of operators in spaces of Bochner integrable functions
• A decomposition theorem for additive set-functions with applications to Pettis integrals and ergodic means
• Sur l'intégrabilite de Pettis
• Compactness and Weak Compactness in Spaces of Compact-Range Vector Measures
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