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Uniform Kadec-Klee Property in Banach lattices

Fouad Chaatit·M. Khamsi
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Abstract

We prove that a Banach lattice $X$ which does not contain the $l^n_{\infty}$-uniformly has an equivalent norm which is uniformly Kadec-Klee for a natural topology $τ$ on $X$. In case the Banach lattice is purely atomic, the topology $τ$ is the coordinatewise convergence topology.

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BibTeXRIS

Fouad Chaatit, M. Khamsi. 1994-06-06. Uniform Kadec-Klee Property in Banach lattices. https://arxiv.org/abs/math/9406209

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