A note on holomorphic approximation in Banach spaces
Authors:
László Lempert
Affiliation:
(1) Department of Mathematics, Purdue University, West Lafayette, IN 47907-1395, USA
Abstract:
Given a complex Banach space X and a holomorphic function f on its unit ball B, we discuss the problem whether f can be approximated, uniformly on smaller balls, by functions g holomorphic on all of X. Research partially supported by NSF grant DMS0700281.