Carathéodory-Hahn-kluvánek extension theorem in locally convex spaces with application

DOI10.1016/J.JMAA.2024.128829MaRDI QIDQ6627024

Sokol Bush Kaliaj

Publication date: 29 October 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Radon-Nikodým theoremlocally convex topological vector spacemultimeasuresCarathéodory-Hahn-kluvánek-type theoremnonempty weakly densityweakly compact and convex nonempty sets

Mathematics Subject Classification ID

Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) (46Gxx) Topological linear spaces and related structures (46Axx) Set functions, measures and integrals with values in abstract spaces (28Bxx)

Cites Work

• Reelle Funktionen. I: Punktfunktionen.
• Relations among gauge and Pettis integrals for \(cwk(X)\)-valued multifunctions
• Radon-Nikodým theorems for finitely additive multimeasures
• Measurable selectors and set-valued Pettis integral in non-separable Banach spaces
• Convex analysis and measurable multifunctions
• Vorlesungen über reelle Funktionen. 2. Aufl.
• On the extension of set-valued set functions
• Radon-Nikodým theorems for multimeasures in non-separable spaces
• Approximation of Pettis integrable multifunctions with values in arbitrary Banach spaces
• Set valued integrability in non separable Fréchet spaces and applications
• Pettis integral and measure theory
• On the Extension of Multimeasures and Integration with Respect to a Multimeasure
• A multivalued version of the Radon-Nikodym theorem, via the single-valued Gould integral
• Weakly Compact Sets
• On the Pettis integral of closed valued multifunctions
• Radon-Nikodým theorems in non-separable Banach spaces
• Extension theorems of additive interval multifunctions with applications
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