Analytic cohomology groups of infinite dimensional complex manifolds

Given a cohesive sheaf SS over a complex Banach manifold M  , we endow the cohomology groups Hq(M,S)Hq(M,S) of M   and Hq(U,S)Hq(U,S) of open covers UU of M   with a locally convex topology. Under certain assumptions we prove that the canonical map Hq(U,S)→Hq(M,S)Hq(U,S)→Hq(M,S) is an isomorphism of topological vector spaces.