An operator valued function space integral: A sequel to Cameron and Storvick’s paper
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- by G. W. Johnson and D. L. Skoug
- Proc. Amer. Math. Soc. 27 (1971), 514-518
- DOI: https://doi.org/10.1090/S0002-9939-1971-0272974-5
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Abstract:
Recently Cameron and Storvick introduced and studied an operator valued function space integral related to the Feynman integral. The main theorems of their study establish the existence of the function space integral as a weak operator limit of operators defined at the first stage by finite-dimensional integrals. This paper provides a substantial strengthening of their existence theorem giving the function space integrals as strong operator limits rather than as weak operator limits.References
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- G. W. Johnson and D. L. Skoug, Operator-valued Feynman integrals of certain finite-dimensional functionals, Proc. Amer. Math. Soc. 24 (1970), 774–780. MR 254675, DOI 10.1090/S0002-9939-1970-0254675-1
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Bibliographic Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 27 (1971), 514-518
- MSC: Primary 28.46
- DOI: https://doi.org/10.1090/S0002-9939-1971-0272974-5
- MathSciNet review: 0272974