A dual property to uniform monotonicity in Banach lattices.
Kurc, W.
Collectanea Mathematica, Tome 44 (1993), p. 155-165 / Harvested from Biblioteca Digital de Matemáticas
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For Banach lattices X with strictly or uniformly monotone lattice norm dual, properties (o)-smoothness and (o)-uniform smoothness are introduced. Lindenstrauss type duality formulas are proved and duality theorems are derived. It is observed that (o)-uniformly smooth Banach lattices X are order dense in X**. An application to an optimization theorem is given.

Publié le : 1993-01-01
DMLE-ID : 452 
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     title = {A dual property to uniform monotonicity in Banach lattices.},
     journal = {Collectanea Mathematica},
     volume = {44},
     year = {1993},
     pages = {155-165},
     zbl = {0817.46022},
     mrnumber = {MR1280735},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:42056}
}

Kurc, W. A dual property to uniform monotonicity in Banach lattices.. Collectanea Mathematica, Tome 44 (1993) pp. 155-165. http://gdmltest.u-ga.fr/item/urn:eudml:doc:42056/