%0 Journal Article %T Holomorphic vector bundles on holomorphically convex surface %A Edoardo Ballico %A Elizabeth Gasparim %J Le Matematiche %D 2000 %I University of Catania %X Here we study holomorphic vector bundles on a two-dimensional holomorphically convex complex manifold Y . We present some characterizations of Y under which torsion free sheaves are filtrable. In the case when Y = X กม C, where X is a connected compact Riemann surface, we study in what sense every holomorphic vector bundle may be approximated by a sequence of algebraic vector bundles. %U http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/254