A density theorem for locally convex lattices
Kravvaritis, Dimitrie ; Păltineanu, Gavriil
Abstr. Appl. Anal., Tome 2004 (2004) no. 1, p. 387-393 / Harvested from Project Euclid
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Let $E$ be a real, locally convex, locally solid vector lattice of (AM)-type. First, we prove an approximation theorem of Bishop's type for a vector subspace of such a lattice. Second, using this theorem, we obtain a generalization of Nachbin's density theorem for weighted spaces.
Publié le : 2004-05-13
Classification:  41A65,  46A40 
@article{1086103970,
     author = {Kravvaritis, Dimitrie and P\u altineanu, Gavriil},
     title = {A density theorem for locally convex lattices},
     journal = {Abstr. Appl. Anal.},
     volume = {2004},
     number = {1},
     year = {2004},
     pages = { 387-393},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1086103970}
}

Kravvaritis, Dimitrie; Păltineanu, Gavriil. A density theorem for locally convex lattices. Abstr. Appl. Anal., Tome 2004 (2004) no. 1, pp.  387-393. http://gdmltest.u-ga.fr/item/1086103970/