Banach spaces in which weakly \(p\)-Dunford-Pettis sets are relatively compact

DOI10.1007/s00605-020-01374-yzbMath1457.46023OpenAlexW3001613672MaRDI QIDQ1984756

Ioana Ghenciu

Publication date: 7 April 2020

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-020-01374-y

zbMATH Keywords

spaces of compact operators\(p\)-Dunford-Pettis completely continuous operatorsweakly \(p\)-Dunford-Pettis sets

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Linear operators defined by compactness properties (47B07) Spaces of operators; tensor products; approximation properties (46B28) Vector-valued measures and integration (46G10) Compactness in Banach (or normed) spaces (46B50)

Cites Work

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• Spaces of continuous functions (III) (Spaces C(Ω) for Ω without perfect subsets)
• The Dunford–Pettis property, the Gelfand–Phillips property, and L-sets
• Point-Wise Compact Subsets of the First Baire Class
• Dunford-Pettis like properties on tensor products
• Totally Bounded Sets of Precompact Linear Operators

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