A dual property to uniform monotonicity in Banach lattices

• Autores: W. Kurc
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 44, Fasc. 1-3, 1993, págs. 155-166
• Idioma: inglés
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• Resumen

  • 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 $X^{\ast\ast}$. An application to an optimization problem is given.