Matematičeskie zametki, Tome 20 (1976) no. 3, pp. 401-408
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O. E. Tsitritskii. The integral representation of vector measures on a completely regular space. Matematičeskie zametki, Tome 20 (1976) no. 3, pp. 401-408. http://geodesic.mathdoc.fr/item/MZM_1976_20_3_a11/
@article{MZM_1976_20_3_a11,
author = {O. E. Tsitritskii},
title = {The integral representation of vector measures on a~completely regular space},
journal = {Matemati\v{c}eskie zametki},
pages = {401--408},
year = {1976},
volume = {20},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1976_20_3_a11/}
}
TY - JOUR
AU - O. E. Tsitritskii
TI - The integral representation of vector measures on a completely regular space
JO - Matematičeskie zametki
PY - 1976
SP - 401
EP - 408
VL - 20
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1976_20_3_a11/
LA - ru
ID - MZM_1976_20_3_a11
ER -
%0 Journal Article
%A O. E. Tsitritskii
%T The integral representation of vector measures on a completely regular space
%J Matematičeskie zametki
%D 1976
%P 401-408
%V 20
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1976_20_3_a11/
%G ru
%F MZM_1976_20_3_a11
We consider the vector space $C(X,E)$ of all bounded continuous functions from a completely regular space $X$ into a Banach space $E$. It is given a special locally convex topology $\xi$. We prove the analog of the Riesz–Markov theorem for the $\xi$-continuous linear operators which map $C(X,E)$ into a Banach space $F$.
