The Dunford-Pettis property on vector-valued continuous and bounded functions

DOI10.1017/S0004972700015719zbMath0799.46019OpenAlexW2132533611MaRDI QIDQ4276496

José Aguayo, José Sánchez

Publication date: 24 November 1994

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700015719

zbMATH Keywords

\(AL\)-spacecompletely regular spacestrict topologies\(AM\)-spaceDunford-Pettis properties

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Linear operators on function spaces (general) (47B38) Vector-valued measures and integration (46G10) Topological linear spaces of continuous, differentiable or analytic functions (46E10)

Related Items

Completely continuous operators and the strict topology ⋮ Bochner representable operators on spaces of continuous functions ⋮ Integral representation of continuous operators with respect to strict topologies ⋮ Operators on spaces of bounded vector-valued continuous functions with strict topologies ⋮ Strict topologies on spaces of continuous functions and \(u\)-additive measure spaces ⋮ Integration with respect to Baire vector measures with applications to the spectral theory

Cites Work

• Unnamed Item
• Integral representation of weakly compact operators
• Topologies on Spaces of Vector-Valued Continuous Functions
• Strict Topology on Spaces of Continuous Vector-Valued Functions
• Strict Topologies for Vector-Valued Functions
• Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)
• Dunford-Pettis property