Matematičeskie zametki, Tome 17 (1975) no. 2, pp. 307-318
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G. M. Ustinov. Properties of subspaces of the space of affine functions. Matematičeskie zametki, Tome 17 (1975) no. 2, pp. 307-318. http://geodesic.mathdoc.fr/item/MZM_1975_17_2_a13/
@article{MZM_1975_17_2_a13,
author = {G. M. Ustinov},
title = {Properties of subspaces of the space of affine functions},
journal = {Matemati\v{c}eskie zametki},
pages = {307--318},
year = {1975},
volume = {17},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1975_17_2_a13/}
}
TY - JOUR
AU - G. M. Ustinov
TI - Properties of subspaces of the space of affine functions
JO - Matematičeskie zametki
PY - 1975
SP - 307
EP - 318
VL - 17
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1975_17_2_a13/
LA - ru
ID - MZM_1975_17_2_a13
ER -
%0 Journal Article
%A G. M. Ustinov
%T Properties of subspaces of the space of affine functions
%J Matematičeskie zametki
%D 1975
%P 307-318
%V 17
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1975_17_2_a13/
%G ru
%F MZM_1975_17_2_a13
Conditions are presented for weak (strong) convergence, in the entire space $A(x)$, of a sequence of positive operators to a fixed operator $S$ on the basis of its weak (strong) convergence to $S$ in a subspace. The criterion of Bauer's simplex is presented.
