Holomorphy types on a Banach spaces
Let be an infinite-dimensional complex Banach space and a closed analytic subset with finite codimension. We give a condition on which implies that is a complete intersection. We conjecture that the result should be true for more general topological vector spaces.
One proves the density of an ideal of analytic functions into the closure of analytic functions in a -space, under some geometric conditions on the support of the measure and the zero variety of the ideal.
The Banach hyperbolicity and disc-convexity of complex Banach manifolds and their relations are investigated.