On factorization of operators between Banach spaces
Functional Analysis
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0206112,
title = {On factorization of operators between Banach spaces},
author = {Eugene Tokarev},
journal= {arXiv preprint arXiv:math/0206112},
year = {2007}
}
Comments
Latex2e