Operators between subspaces and quotients of L1

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dc.creatorGodefroy, G.
dc.creatorKalton, N.
dc.creatorLi, D.
dc.date1999-02-01
dc.date.accessioned2026-07-07T05:27:44Z
dc.date.available2026-07-07T05:27:44Z
dc.descriptionWe 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.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/math/9902007
dc.identifierhttp://arxiv.org/abs/math/9902007
dc.identifierIndiana University Math. J. 49 (2000)245-286
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78033
dc.subjectFunctional Analysis
dc.subject46A22 - 46B20 - 46B25
dc.titleOperators between subspaces and quotients of L1
dc.typetext

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