On factorization of operators between Banach spaces

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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.
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Functional Analysis, 47A68, 47B10 (Primary) 46B07, 46B20 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/64280

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0206112
 http://arxiv.org/abs/math/0206112

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arXiv