A dual property to uniform monotonicity in Banach lattices.

Kurc, W.. "A dual property to uniform monotonicity in Banach lattices.." Collectanea Mathematica 44.1-2-3 (1993): 155-165. <http://eudml.org/doc/42056>.

@article{Kurc1993,
abstract = {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.},
author = {Kurc, W.},
journal = {Collectanea Mathematica},
keywords = {Espacio de Orlicz; Retículo de Banach; Teoría de la aproximación; Banach lattices; uniformly monotone lattice norm dual; (o)-smoothness; (o)-uniform smoothness; Lindenstrauss type duality formulas; duality theorems; order dense; optimization problem},
language = {eng},
number = {1-2-3},
pages = {155-165},
title = {A dual property to uniform monotonicity in Banach lattices.},
url = {http://eudml.org/doc/42056},
volume = {44},
year = {1993},
}

TY - JOUR
AU - Kurc, W.
TI - A dual property to uniform monotonicity in Banach lattices.
JO - Collectanea Mathematica
PY - 1993
VL - 44
IS - 1-2-3
SP - 155
EP - 165
AB - 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.
LA - eng
KW - Espacio de Orlicz; Retículo de Banach; Teoría de la aproximación; Banach lattices; uniformly monotone lattice norm dual; (o)-smoothness; (o)-uniform smoothness; Lindenstrauss type duality formulas; duality theorems; order dense; optimization problem
UR - http://eudml.org/doc/42056
ER -