Operators between subspaces and quotients of L1 - Université Pierre et Marie Curie Accéder directement au contenu
Article Dans Une Revue Indiana University Mathematics Journal Année : 2000

Operators between subspaces and quotients of L1

Résumé

We provide an unified approach of results of L. Dor on the complementation of the range, and of D. Alspach on the nearness from isometries, of small into isomorphisms of L1. We introduce the notion of small subspace of L1 and show lifting theorems for operators between quotients of L1 by small subspaces. We construct a subspace of L1 which shows that extension of isometries from subspaces of L1 to the whole space are no longer true for isomorphisms, and that nearly isometric isomorphisms from subspaces of L1 into L1 need not be near from any isometry.

Dates et versions

hal-00441551 , version 1 (16-12-2009)

Identifiants

Citer

Gilles Godefroy, Nigel Kalton, Daniel Li. Operators between subspaces and quotients of L1. Indiana University Mathematics Journal, 2000, 49 (1), pp.245-286. ⟨hal-00441551⟩
107 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More