Holomorphic differential forms of complex manifolds on commutative Banach algebras and a few related problems

Let A be a commutative Banach algebra. Let M be a complex manifold on A (an A-manifold). Then, we define an A-holomorphic vector bundle (\wedge^kT^*)(M) on M. For an open set U of M, \omega is said to be an A-holomorphic differential k-form on U, if \omega is an A-holomorphic... Show more