Complete continuity properties of Banach spaces associated with subsets of a discrete abelian group

DOI10.1017/S0017089501020043zbMath0992.46031OpenAlexW1987145118MaRDI QIDQ2731114

Mangatiana A. Robdera, Paulette Saab

Publication date: 28 October 2001

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089501020043

zbMATH Keywords

Fourier coefficientsBochner integrable functionnormalized Haar measureRadon-Nikodým properties\(\Lambda\)-complete continuity properties\(\Lambda\)-measureCauchy sequences for the Pettis normcountable additive measure of bounded variationdual of a comapct metrizable Abeliangood approximate identities

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Vector-valued measures and integration (46G10) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (8)

The complete continuity properties for the positive projective tensor product of atomic Banach lattices ⋮ Complete continuity properties for the Fremlin projective tensor product of Orlicz sequence spaces and Banach lattices ⋮ Applications of semi-embeddings to the study of the projective tensor product of Banach spaces ⋮ The complete continuity property in Banach spaces ⋮ Geometric properties of \(h^p(\mathbb D, X)\) and generalizations ⋮ Rosenthal sets and the relative Radon-Nikodým property ⋮ Some properties of the projective tensor product UX derived from those of U and X ⋮ The analytic complete continuity property

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