Displaying similar documents to “Extreme points of the positive part of the unit ball and strictly monotone norm.”

Monotone coefficients and monotonicity of Orlicz spaces.

Yanming Lü, Junming Wang, Tingfu Wang (1999)

Revista Matemática Complutense

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The criteria for uniform monotonicity, locally uniformly monotonicity and monotonicity of of Orlicz spaces with Luxemburg and Orlicz norms are given. The monotone coefficients of a point and of the spaces are computed.

A dual property to uniform monotonicity in Banach lattices.

W. Kurc (1993)

Collectanea Mathematica

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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.