Matematičeskie zametki, Tome 11 (1972) no. 6, pp. 651-660
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A. I. Vasil'ev. Bounded compactness of sets in linear metric spaces. Matematičeskie zametki, Tome 11 (1972) no. 6, pp. 651-660. http://geodesic.mathdoc.fr/item/MZM_1972_11_6_a5/
@article{MZM_1972_11_6_a5,
author = {A. I. Vasil'ev},
title = {Bounded compactness of sets in linear metric spaces},
journal = {Matemati\v{c}eskie zametki},
pages = {651--660},
year = {1972},
volume = {11},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1972_11_6_a5/}
}
TY - JOUR
AU - A. I. Vasil'ev
TI - Bounded compactness of sets in linear metric spaces
JO - Matematičeskie zametki
PY - 1972
SP - 651
EP - 660
VL - 11
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1972_11_6_a5/
LA - ru
ID - MZM_1972_11_6_a5
ER -
%0 Journal Article
%A A. I. Vasil'ev
%T Bounded compactness of sets in linear metric spaces
%J Matematičeskie zametki
%D 1972
%P 651-660
%V 11
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1972_11_6_a5/
%G ru
%F MZM_1972_11_6_a5
An analog of the well known concept of bounded compactness from the theory of normed spaces is investigated in a linear metric space $X$. From the results obtained follows, for example, a sufficient condition for approximative compactness of a finite-dimensional subspace $L\subset X$.
