On weak compactness in the space of Pettis integrable functions

DOI10.1016/S0001-8708(82)80005-4zbMath0532.46024MaRDI QIDQ788962

James K. Brooks, Nicolae Dinculeanu

Publication date: 1982

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

space of strongly measurable and Pettis integrable functions with values in a Banach spaceweak compactness criterion

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) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (2)

Convergence theorems for Pettis integrable functions and regular methods of summability ⋮ Weak precompactness in the space of Pettis integrable functions

Cites Work

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• Weak compactness and uniform convergence of operators in spaces of Bochner integrable functions
• Lebesgue-type spaces for vector integration, linear operators, weak completeness and weak compactness
• Weak compactness in spaces of Bochner integrable functions and applications
• Conditional weak compactness in certain inductive tensor products

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