Measurability of norm proved by Haar functions
Author:
H. C. Finlayson
Journal:
Proc. Amer. Math. Soc. 53 (1975), 334-336
MSC:
Primary 28A40
DOI:
https://doi.org/10.1090/S0002-9939-1975-0385059-8
MathSciNet review:
0385059
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Abstract | References | Similar Articles | Additional Information
Abstract: A proof is given of the measurability of the supremum norm on Wiener space.
- [1] Z. Ciesielski, Hölder conditions for realizations of Gaussian processes, Trans. Amer. Math. Soc. 99 (1961), 403–413. MR 132591, https://doi.org/10.1090/S0002-9947-1961-0132591-2
- [2] William Feller, An Introduction to Probability Theory and Its Applications. Vol. I, John Wiley & Sons, Inc., New York, N.Y., 1950. MR 0038583
- [3] H. C. Finlayson, Approximation of Wiener integrals of functionals continuous in the uniform topology, Pacific J. Math. 34 (1970), 61–71. MR 412699
- [4] Leonard Gross, Measurable functions on Hilbert space, Trans. Amer. Math. Soc. 105 (1962), 372–390. MR 147606, https://doi.org/10.1090/S0002-9947-1962-0147606-6
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1975-0385059-8
Article copyright:
© Copyright 1975
American Mathematical Society
