Operator valued measures and perturbations of semi-groups

DOI10.1007/BF00250650zbMath0531.28012OpenAlexW27273909MaRDI QIDQ788140

Igor Kluvanek

Publication date: 1983

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00250650

zbMATH Keywords

Wiener measureFeynman-Kac formuladiffusion semi-groupFubini-Tonelli type theoremintegration of scalar-valued functions with respect to vector-valued measuresproduct integration with respect to vector measuresemi-groups of operators

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Groups and semigroups of linear operators (47D03) Diffusion processes (60J60) Vector-valued measures and integration (46G10) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (10)

A process associated with the radially symmetric Dirac equation ⋮ The Feynman representation for the Dirac propagator with a radially symmetric potential ⋮ Unnamed Item ⋮ The CLR inequality for dominated semigroups ⋮ On integration in Banach spaces, VIII. Polymeasures ⋮ The Feynman-Kac Formula with a Lebesgue-Stieltjes Measure and Feynman's Operational Calculus ⋮ An Operator Bound Related to Feynman-Kac Formulae ⋮ Processes associated with evolution equations ⋮ Integration with respect to closable set functions ⋮ A measure-valued analogue of Wiener measure and the measure-valued Feynman-Kac formula

Cites Work

• The Lebesgue-Nikodym Theorem for Vector Valued Radon Measures
• Unnamed Item

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