Lifting approach to integral representations of rich multimeasures with values in Banach spaces. II

MaRDI QIDQ6620690

Kazimierz Musial

Publication date: 17 October 2024

Published in: Journal of Convex Analysis (Search for Journal in Brave)

zbMATH Keywords

Pettis integralmultifunctionsmartingalesconditional expectationRadon-Nikodym propertymultimeasuresrich multimeasures

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Cites Work

• M-convergence, et régularité des martingales multivoques: Epi- martingales. (M-convergence and regularity of multivalued martingales: Epi-martingales)
• Measurable selectors and set-valued Pettis integral in non-separable Banach spaces
• On multivalued martingales whose values may be unbounded: Martingale selectors and Mosco convergence
• Scalar convergence of convex sets
• Convex analysis and measurable multifunctions
• Radon-Nikodým theorems for multimeasures in non-separable spaces
• Approximation of Pettis integrable multifunctions with values in arbitrary Banach spaces
• Pettis integral and measure theory
• On the Extension of Multimeasures and Integration with Respect to a Multimeasure
• SOME ASPECTS OF THE LIFTING PROPERTY OF THE SPACE £_∞(μ,X)
• Integration of multifunctions with closed convex values in arbitrary Banach spaces
• Martingale Convergence and the Radon-Nikodym Theorem in Banach Spaces.
• On the Pettis integral of closed valued multifunctions
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