An operator characterization of vector measures which have Radon-Nikodym derivatives

DOI10.1007/BF01351207zbMath0236.46054OpenAlexW2092894397MaRDI QIDQ2552274

Charles W. Swartz

Publication date: 1973

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162402

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Vector-valued measures and integration (46G10) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (7)

Nuclear operators on the Banach space of vector-valued essentially bounded measurable functions ⋮ Characterizations of continuous operators on \(C_b(X)\) with the strict topology ⋮ Nuclear operators and applications to kernel operators ⋮ The bang-bang, purification and convexity principles in infinite dimensions ⋮ The Radon-Nikodym property and integral representations of linear operators ⋮ Zur Dualität von Funktoren, die durch Funktionenräume definiert sind ⋮ Nuclear operators on Banach function spaces

Cites Work

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• Integral representation of dominated operations on spaces of continuous vector fields
• The Radon-Nikodym Theorem for the Bochner Integral
• Martingale Convergence and the Radon-Nikodym Theorem in Banach Spaces.
• The Range of a Vector-Valued Measure
• On some properties of p-nuclear and p-integral operators
• p-nukleare und p-integrale Abbildungen in Banachräumen
• Finitely Additive Measures

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