Completeness of the L1-space of closed vector measures

DOI10.1017/S0013091500028893zbMath0668.46019OpenAlexW2130540119MaRDI QIDQ3821134

Werner J. Ricker

Publication date: 1990

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500028893

zbMATH Keywords

closed vector measuretopology of uniform convergence of indefinite integralscompleteness of L(sup 1) (m)L(sup 1) -spaceX-valued measures where X is not sequentially complete

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10)

Related Items (5)

Vector measures and integration in non-complete spaces ⋮ The range of the integration map of a vector measure ⋮ Compactness properties of the integration map for Volterra measures in non-normable spaces ⋮ Weak completeness properties of the $L^1 $-space of a spectral measure ⋮ Criteria for closedness of spectral measures and completeness of Boolean algebras of projections

Cites Work

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• Spectral measures and the Bade reflexivity theorem
• Algebras of unbounded scalar-type spectral operators
• Boolean algebras of commuting projections
• Criteria for Closedness of Vector Measures
• Reflexivity and Order Properties of Scalar-Type Spectral Operators in Locally Convex Spaces
• Spectral Measures, Boundedly σ-Complete Boolean Algebras and Applications to Operator Theory
• Boolean Algebras of Projections and Reflexive Algebras of Operators
• On Boolean Algebras of Projections and Scalar-Type Spectral Operators
• The range of a vector-valued measure

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