<script type="text/javascript">
<!--
document.write('<div id="oa_widget"></div>');
document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=undefined&type=result"></script>');
-->
</script>

COPY SCRIPT

For further information contact us at helpdesk@openaire.eu

Renorming Dual Banach Lattices

Name: Renorming Dual Banach Lattices
Creator: Nassif Ghoussoub
Keywords: Banach lattices, dual norm, Isomorphic theory (including renorming) of Banach spaces, order continuous, lattice renorming, weakly compactly generated, dual Banach lattices, Frechet differentiable and locally uniformly convex lattice norm, 0101 mathematics, separable

Renorming dual Banach lattices

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Apr 1982Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 84, page 521 (issn: 0002-9939,

Authors: Nassif Ghoussoub;

doi: 10.2307/2044027 , 10.1090/s0002-9939-1982-0643741-2

Renorming Dual Banach Lattices

- Summary
- Subjects
- Metrics

Abstract

We show that a Banach lattice is order continuous as well as its dual if and only if it admits an equivalent Fréchet differentiable and locally uniformly convex lattice norm such that its dual norm is also locally uniformly convex.

Keywords

Banach lattices, dual norm, Isomorphic theory (including renorming) of Banach spaces, order continuous, lattice renorming, weakly compactly generated, dual Banach lattices, Frechet differentiable and locally uniformly convex lattice norm, separable

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	2
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average