Vector measures and strict topologies

DOI10.1016/j.topol.2012.01.001zbMath1247.46036OpenAlexW1965233178MaRDI QIDQ664703

Marian Nowak

Publication date: 2 March 2012

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2012.01.001

zbMATH Keywords

weakly compact operatorsvector measuresstrict topologiesintegration operatorsBaire measuresDini topologiesspaces of bounded continuous functionsstrongly bounded measures

Mathematics Subject Classification ID

Spaces of measures, convergence of measures (28A33) Vector-valued measures and integration (46G10) Topological linear spaces of continuous, differentiable or analytic functions (46E10) 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)

Related Items (6)

Integral representation of continuous operators with respect to strict topologies ⋮ Certain strict topologies on the space of regular Borel measures on locally compact groups ⋮ Weakly compact operators and strict topologies ⋮ Compactness and sequential completeness in some spaces of operators ⋮ A strict topology on Orlicz spaces ⋮ Integration with respect to Baire vector measures with applications to the spectral theory

Cites Work

• Linear operators on the space of bounded continuous functions with strict topologies
• Vector measures and Mackey topologies
• A survey of Baire measures and strict topologies
• (Weakly) compact operators and DF spaces
• Weakly compact operators and the Dunford-Pettis property on uniform spaces
• Application of a theorem of Grothendieck to vector measures
• Compact and weakly compact operators on \(C(S)_\beta\)
• Integration with respect to vector measures
• Weak Compactness and Vector Measures
• A Vector Form of Alexandrov's Theorem
• Weakly compact operators and the strict topologies
• Separable measures and the Dunford-Pettis property
• Characterizations of weakly compact operators on $C_o(T)$
• Erratum
• Vector Measures.
• Bounded Continuous Functions on a Completely Regular Space
• Finitely Additive Measures
• Dunford-Pettis property
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Vector measures and strict topologies