Compactness and sequential completeness in some spaces of operators

DOI10.1007/s11117-013-0248-2zbMath1307.46034OpenAlexW2168538023WikidataQ59397821 ScholiaQ59397821MaRDI QIDQ743455

Marian Nowak

Publication date: 24 September 2014

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-013-0248-2

zbMATH Keywords

Banach latticecompactnessparacompactcontinuous linear operatorstrict topologysequential compactnessspace of bounded continuous functionstopology of simple convergenceBaire vector measureBorel vector measureČech completenessDini topology

Mathematics Subject Classification ID

Integration with respect to measures and other set functions (28A25) Vector-valued measures and integration (46G10) Saks spaces and their duals (strict topologies, mixed topologies, two-norm spaces, co-Saks spaces, etc.) (46A70) Spaces of linear operators; topological tensor products; approximation properties (46A32) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (2)

Bochner representable operators on spaces of continuous functions ⋮ Nuclear tight operators on spaces of continuous functions

Cites Work

• Absolutely continuous operators on function spaces and vector measures
• Vector measures and Mackey topologies
• Vector measures and strict topologies
• Bounded continuous functions on a locally compact space
• A survey of Baire measures and strict topologies
• Application of a theorem of Grothendieck to vector measures
• Integration with respect to vector measures
• Weakly compact operators and the strict topologies
• Measures on Metacompact Spaces
• Vector Measures.
• Bounded Continuous Functions on a Completely Regular Space
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