On factorization of operators between Banach spaces

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dc.creatorTokarev, Eugene
dc.date2002-06-11
dc.date.accessioned2026-07-07T04:49:03Z
dc.date.available2026-07-07T04:49:03Z
dc.descriptionA finite-dimensional analogue of the known Gordon-Lewis constant of a Banach space X is introduced; in its definition are used only finite rank operators. It is shown that there exist Banach spaces such that the standard Gordon-Lewis constant of X is finite and its finite-dimensional analogue GLfin(X) is infinite. Moreover, for any Banach space X of cotype 2 its finite-dimensional constant GLfin(X) is finite too.
dc.descriptionLatex2e
dc.identifierhttps://arxiv.org/abs/math/0206112
dc.identifierhttp://arxiv.org/abs/math/0206112
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64280
dc.subjectFunctional Analysis
dc.subject47A68, 47B10 (Primary) 46B07, 46B20 (Secondary)
dc.titleOn factorization of operators between Banach spaces
dc.typetext

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