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arXiv:math/0206112 [math.FA]AbstractReferencesReviewsResources

On factorization of operators between Banach spaces

Eugene Tokarev

Published 2002-06-11Version 1

A 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.

Comments: Latex2e
Categories: math.FA
Subjects: 47A68, 47B10, 46B07, 46B20
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