Symetries isometriques applications a la dualite des espaces reticules |
| |
Authors: | Gilles Godefroy |
| |
Institution: | (1) Equipe d’Analyse-Tour 46-0, Université Paris VI, 4 Place Jussieu, 75230 Paris Cedex 05, France |
| |
Abstract: | We show that ifE is a non-reflexive Banach lattice, there exists for everyn a dual of finite even order ofE which contins isometicallyl
n
/l
. We show that itE is a Banach lattice which is isometric to the dual of a Banach spaceX, then the order intervals are σ (E, X)-compact. We prove then that under various conditions, a Banach lattice which is a dual as a Banach space, is a dual as a
Banach lattice. In particular, this is true when the predual ofE is unique.
|
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|