On factorization of operators between Banach spaces

Details On factorization of operators between Banach spaces On factorization of operators between Banach spaces

2002-06-11

arxiv.org/abs/math/0206112v1

Mathematics

Functional Analysis

Latex2e

Scientific paper

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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