A local approach to functionals on $L^\infty (\mu ,X)$

DOI10.1090/S0002-9939-99-05284-3zbMath0946.46030MaRDI QIDQ4700151

Santiago Díaz

Publication date: 1 November 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

cotype 2Bochner integrable2-summingessentially bounded and measurablespaces of vector-valued integrable functionsvector-valued version of the theorem of Grothendieck-Lindenstrauss-Pełczynski

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) Geometry and structure of normed linear spaces (46B20) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10)

Related Items (3)

Local dual spaces of Banach spaces of vector-valued functions ⋮ A characterization of the local dual spaces of a Banach space ⋮ Local duality for Banach spaces

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