Martingales of Strongly Measurable Pettis Integrable Functions

DOI10.2307/1996146zbMath0249.60025OpenAlexW4234893760MaRDI QIDQ5663166

J. J. jun. Uhl

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/1996146

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10)

Related Items

Unnamed Item, Set valued Aumann-Pettis integrable martingale representation theorem and convergence, Convergence theorem of Pettis integrable multivalued pramart, Conditional expectation of Pettis integrable random sets: existence and convergence theorems, Pettis mean convergence of vector-valued asymptotic martingales, Martingale convergence, series expansion of Gaussian elements, and strong law of large numbers in Frechet spaces

Cites Work

• Unnamed Item
• Martingales à valeurs vectorielles. Applications à la dérivation des mesures vectorielles
• Radon-Nikodým theorems for the Bochner and Pettis integrals
• Abstract martingale convergence theorems
• Weak Compactness and Vector Measures
• Martingales of Banach-valued random variables
• Martingale Convergence and the Radon-Nikodym Theorem in Banach Spaces.
• On Integral Representation of Vector Valued Measures.
• Applications of Radon-Nikodym Theorems to Martingale Convergence
• Extensions and Decompositions of Vector Measures
• Abstract Ergodic Theorems
• On Integration in Vector Spaces
• Linear Operations on Summable Functions
• On Weakly Compact Subsets of a Banach Space