Abstract
We prove several results about measures in linear spaces. In particular we prove the assertion in the title.
Similar content being viewed by others
Literature cited
C. Kuratowski, Topology, Hafner (1961).
L. Gross, Abstract Wiener Spaces, Proc. Fifth Berkeley Symposium on Mathematical Statistics and Probability, Vol. 2, No. 1 (1965–1966), pp. 31–42.
L. Gross, Harmonic Analysis in Hilbert Space, Am. Math. Soc. (1970).
A. N. Kolmogorov, “Remarks on the work of R. A. Minlos and V. V. Sazonov,” Teor. Veroyatnost. i Primen.,4, 237–239 (1959).
Yu. L. Daletskii, “Infinite elliptic operators and parabolic equations connected with them,” Usp. Matem. Nauk,22, 3–54 (1967).
I. M. Gel'fand and N. Ya. Vilenkin, Generalized Functions, No. 4, Some Applications of Harmonic Analysis. Rigged Hilbert Spaces [in Russian], Gos. Izd. Fiz.-Mat. Lit., Moscow (1961).
G. E. Shilov and Fang Tyk T'in, Integral, Measure and Derivative on Linear Spaces [in Russian], Izd. Nauka, Moscow (1967).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 14, No. 3, pp. 369–374, September, 1973.
Rights and permissions
About this article
Cite this article
Smolyanov, O.G., Uglanov, A.V. Every Hubert subspace of a Wiener space has measure zero. Mathematical Notes of the Academy of Sciences of the USSR 14, 772–774 (1973). https://doi.org/10.1007/BF01147453
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01147453