Abstract and Applied Analysis
Volume 2003 (2003), Issue 8, Pages 513-519
doi:10.1155/S1085337503212070

Domains which are locally uniformly linearly convex in the Kobayashi distance

Abstract

We show a construction of domains in complex reflexive Banach spaces which are locally uniformly convex in linear sense in their Kobayashi distance. We also show connections between norm and Kobayashi distance properties.