2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64280A 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.Latex2eFunctional Analysis47A68, 47B10 (Primary) 46B07, 46B20 (Secondary)text