Teoriâ veroâtnostej i ee primeneniâ, Tome 21 (1976) no. 2, pp. 421-422
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D. H. Muštari. On a probabilistic characterization of the Hilbert space. Teoriâ veroâtnostej i ee primeneniâ, Tome 21 (1976) no. 2, pp. 421-422. http://geodesic.mathdoc.fr/item/TVP_1976_21_2_a21/
@article{TVP_1976_21_2_a21,
author = {D. H. Mu\v{s}tari},
title = {On a~probabilistic characterization of the {Hilbert} space},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {421--422},
year = {1976},
volume = {21},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1976_21_2_a21/}
}
TY - JOUR
AU - D. H. Muštari
TI - On a probabilistic characterization of the Hilbert space
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1976
SP - 421
EP - 422
VL - 21
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1976_21_2_a21/
LA - ru
ID - TVP_1976_21_2_a21
ER -
%0 Journal Article
%A D. H. Muštari
%T On a probabilistic characterization of the Hilbert space
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1976
%P 421-422
%V 21
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1976_21_2_a21/
%G ru
%F TVP_1976_21_2_a21
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.
