Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (1998) no. 1, pp. 25-34
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K. Zheltukhin; V. M. Kadets. Vector-valued measure as a basis of the Banach space. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (1998) no. 1, pp. 25-34. http://geodesic.mathdoc.fr/item/JMAG_1998_5_1_a2/
@article{JMAG_1998_5_1_a2,
author = {K. Zheltukhin and V. M. Kadets},
title = {Vector-valued measure as a basis of the {Banach} space},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {25--34},
year = {1998},
volume = {5},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_1998_5_1_a2/}
}
TY - JOUR
AU - K. Zheltukhin
AU - V. M. Kadets
TI - Vector-valued measure as a basis of the Banach space
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 1998
SP - 25
EP - 34
VL - 5
IS - 1
UR - http://geodesic.mathdoc.fr/item/JMAG_1998_5_1_a2/
LA - ru
ID - JMAG_1998_5_1_a2
ER -
%0 Journal Article
%A K. Zheltukhin
%A V. M. Kadets
%T Vector-valued measure as a basis of the Banach space
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 1998
%P 25-34
%V 5
%N 1
%U http://geodesic.mathdoc.fr/item/JMAG_1998_5_1_a2/
%G ru
%F JMAG_1998_5_1_a2
A new notion of the basic measure is introdused. The vector-valued measures which are basic measures are described. It is proved that the Banach space has a basic measure iff it is isomorphic to the order continuous Banach lattice with a weak unit. The connection between the properties of the Banach space and those of the basic measure is investigated.
