Abstract

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∗X^*.

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Keywords

  • Uniform nonsquareness
  • uniform monotonicity
  • Riesz angle
  • orthogonal uniform convexity
  • uniform normal structure
  • fixed point property

Mathematics Subject Classification

46B20, 46B42, 46E30, 47H10

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Suggested citation

S. Prus. “On Uniform Nonsquareness and Uniform Normal Structure in Banach Lattices.” Journal of Convex Analysis 21 (2014), No. 1, 167–177. https://doi.org/10.68381/jca21008

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Published by Heldermann Verlag, 2014. Rights now held by Banach Press LLC.