A Banach algebra of Feynman integrable functionals with application to an integral equation formally equivalent to Schrödinger's equation

DOI10.1016/0022-1236(73)90019-0zbMath0255.46041OpenAlexW2043075192MaRDI QIDQ2558640

David Skoug, Gerald W. Johnson

Publication date: 1973

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

Full work available at URL: https://doi.org/10.1016/0022-1236(73)90019-0

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Vector-valued measures and integration (46G10) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Linear integral equations (45A05)

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Cites Work

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• The Ilstow and Feynman integrals
• Operator-valued Feynman integrals of finite-dimensional functionals
• Gaussian Markov expectations and related integral equations
• Feynman integrals of non-factorable finite-dimensional functionals
• Tensor Products of Banach Algebras
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• Operator-Valued Feynman Integrals of Certain Finite-Dimensional Functionals
• An Operator Valued Function Space Integral: A Sequel to Cameron and Storvick's Paper
• Operants: A Functional Calculus for Non-Commuting Operators