Geodesic
On Uniform Nonsquareness and Uniform Normal Structure in Banach Lattices
Journal of convex analysis, Tome 21 (2014) no. 1, pp. 167-177

Voir la notice de l'article provenant de la source Heldermann Verlag

We give a sufficient condition for uniform nonsquareness of a Banach lattice in terms of the characteristic of monotonicity and the Riesz angle. For a Köthe space X we prove that orthogonal uniform convexity implies uniform normal structure and uniform nonsquareness both in X and X*.
Classification : 46B20, 46B42, 46E30, 47H10
Mots-clés : Uniform nonsquareness, uniform monotonicity, Riesz angle, orthogonal uniform convexity, uniform normal structure, fixed point property 
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     author = {S. Prus},
     title = {On {Uniform} {Nonsquareness} and {Uniform} {Normal} {Structure} in {Banach} {Lattices}},
     journal = {Journal of convex analysis},
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     publisher = {mathdoc},
     volume = {21},
     number = {1},
     year = {2014},
     url = {http://geodesic.mathdoc.fr/item/JCA_2014_21_1_JCA_2014_21_1_a7/}
}
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S. Prus. On Uniform Nonsquareness and Uniform Normal Structure in Banach Lattices. Journal of convex analysis, Tome 21 (2014) no. 1, pp. 167-177. http://geodesic.mathdoc.fr/item/JCA_2014_21_1_JCA_2014_21_1_a7/