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Teoriya Veroyatnostei i ee Primeneniya, 1976, Volume 21, Issue 2, Pages 421–422 (Mi tvp3374)  
This article is cited in 3 scientific papers (total in 3 papers)

Short Communications

On a probabilistic characterization of the Hilbert space

D. H. Muštari

Kazan
Full-text PDF (158 kB) Citations (3)
Abstract: Let, in a separable Banach space $E$, a countably-Hilbert topology can be introduced so that any continuous, with respect to this topology, generalized process, is extendable to a measure in $E'$. Then it is shown that the topology in $E$ is equivalent to a pre-Hilbert one.
This result is also generalized to Fréchet spaces.
Received: 28.10.1974
English version:
Theory of Probability and its Applications, 1977, Volume 21, Issue 2, Pages 410–412
DOI: https://doi.org/10.1137/1121050
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. H. Muštari, “On a probabilistic characterization of the Hilbert space”, Teor. Veroyatnost. i Primenen., 21:2 (1976), 421–422; Theory Probab. Appl., 21:2 (1977), 410–412
Citation in format AMSBIB
\Bibitem{Mus76}
\by D.~H.~Mu{\v s}tari
\paper On a~probabilistic characterization of the Hilbert space
\jour Teor. Veroyatnost. i Primenen.
\yr 1976
\vol 21
\issue 2
\pages 421--422
\mathnet{http://mi.mathnet.ru/tvp3374}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=418178}
\zmath{https://zbmath.org/?q=an:0358.60008}
\transl
\jour Theory Probab. Appl.
\yr 1977
\vol 21
\issue 2
\pages 410--412
\crossref{https://doi.org/10.1137/1121050}
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  • https://www.mathnet.ru/eng/tvp/v21/i2/p421
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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