Vector measures and integration in non-complete spaces

DOI10.1007/BF01189572zbMath0822.46056MaRDI QIDQ1337762

Werner J. Ricker, Susumu Okada

Publication date: 13 November 1994

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

sequential completeness\(L^ 1\)-spaceintegration in non-complete spaces

Mathematics Subject Classification ID

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

Related Items (7)

The range of the integration map of a vector measure ⋮ Compactness properties of the integration map for Volterra measures in non-normable spaces ⋮ THE FATOU COMPLETION OF A FRÉCHET FUNCTION SPACE AND APPLICATIONS ⋮ The space of scalarly integrable functions for a Fréchet-space-valued measure ⋮ Completeness of \(L^1\)-spaces for measures with values in complex vector 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

• Daniell-Stone integration without the lattice condition
• Integration with respect to vector measures
• Completeness of the L¹-space of closed vector measures
• Compactness properties of vector-valued integration maps in locally convex spaces
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