Convergence in Pettis norm under extreme point condition

zbMath0965.46028MaRDI QIDQ1573539

Charles Castaing, Michel Valadier, Allal Amrani

Publication date: 6 August 2000

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

topology of pointwise convergenceseparable Banach spacePettis integrationtopological dualcomplete probability spaceOlech's lemmaPettis \(\mu\)-integrable \(E\)-valued functions

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)

Related Items (3)

On a Fractional Differential Inclusion in Banach Space Under Weak Compactness Condition ⋮ Unnamed Item ⋮ \(\mathfrak{S}\)-uniform scalar integrability and strong laws of large numbers for Pettis integrable functions with values in a separable locally convex space

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