The Lebesgue decomposition for lattices of projection operators

DOI10.1016/0001-8708(75)90084-5zbMath0305.28007OpenAlexW2094287238MaRDI QIDQ1217217

Richard B. Darst

Publication date: 1975

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(75)90084-5

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Abstract differentiation theory, differentiation of set functions (28A15)

Cites Work

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• The descriptive approach to the derivative of a set function with respect to a \(\sigma\)-lattic
• A generalized Radon-Nikodym derivative
• The Lebesgue decomposition, Radon-Nikodym derivative, conditional expectation, and martingale convergence for lattices of sets
• Best fit to a random variable by a random variable measurable with respect to a \(\sigma\)-lattice
• Norm convergence of martingales of Radon-Nikodym derivatives given a \(\sigma\)-lattice
• On the extension of measures
• Decomposition of additive set functions
• A Decomposition of Finitely Additive Set Functions.
• A Decomposition for Complete Normed Abelian Groups with Applications to Spaces of Additive Set Functions
• Approximated calculus of torsional rigidity of beams with solid cross-section
• Conditional Expectation Given A $\sigma$-Lattice and Applications
• On an Extension of the Concept Conditional Expectation
• Properties of Vector Valued Finitely Additive Set Functions
• ON THE VITALI-HAHN-SAKS AND NIKODÝM THEOREMS
• The Vitali-Hahn-Saks and Nikodym theorems for additive set functions
• On Finitely Additive Vector Measures
• On the existence of a control measure for strongly bounded vector measures
• The Vitali-Hahn-Saks and Nikodym theorems for additive functions. II
• The Lebesgue decomposition

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