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Constante rectangle et biais d'un espace de Banach

Published online by Cambridge University Press:  17 April 2009

Jocelyn Desbiens
Jocelyn Desbiens
Affiliation:
Département d'informatique, Collège Militaire Royal de Saint-Jean, Saint-Jean-sur-Richelieu, Québec, Canada, JOJ 1R0
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Abstract

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We study in this paper the relations existing between Joly's rectangular constant (µ) and the degree of asymmetry of Birkhoff-James's orthogonality relation (β). New bounds on the variation of µ in terms of β and estimation of the values taken by β in the case of uniformly convex Banach spaces are given.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 42 , Issue 3 , December 1990 , pp. 465 - 482
Copyright
Copyright © Australian Mathematical Society 1990

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