Geodesic
Vector-valued measure as a basis of the Banach space
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (1998) no. 1, pp. 25-34 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@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/}
}
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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/