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
1Instytut Matematyki, Uniwersytet M. Curie-Sklodowskiej (UMCS), Lublin 20-031, Poland
2Instytut Matematyki Panstwowa Wyzsza Szkola Zawodowa (PWSZ), Chełm 20-120, Poland
Received 2 October 2001
Copyright © 2003 Monika Budzyńska. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.