Domains which are locally uniformly linearly convex in the Kobayashi distance

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.

Bibliographic Details
Main Author: Monika Budzyńska
Format: Article
Language:English
Published: Hindawi Limited 2003-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S1085337503212070
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spelling doaj-faa84d3aa8d844ba8370138c7892ebdb2020-11-24T21:33:08ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092003-01-012003851351910.1155/S1085337503212070Domains which are locally uniformly linearly convex in the Kobayashi distanceMonika Budzyńska0Instytut Matematyki, Uniwersytet M. Curie-Sklodowskiej (UMCS), Lublin 20-031, PolandWe 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.http://dx.doi.org/10.1155/S1085337503212070
collection DOAJ
language English
format Article
sources DOAJ
author Monika Budzyńska
spellingShingle Monika Budzyńska
Domains which are locally uniformly linearly convex in the Kobayashi distance
Abstract and Applied Analysis
author_facet Monika Budzyńska
author_sort Monika Budzyńska
title Domains which are locally uniformly linearly convex in the Kobayashi distance
title_short Domains which are locally uniformly linearly convex in the Kobayashi distance
title_full Domains which are locally uniformly linearly convex in the Kobayashi distance
title_fullStr Domains which are locally uniformly linearly convex in the Kobayashi distance
title_full_unstemmed Domains which are locally uniformly linearly convex in the Kobayashi distance
title_sort domains which are locally uniformly linearly convex in the kobayashi distance
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2003-01-01
description 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.
url http://dx.doi.org/10.1155/S1085337503212070
work_keys_str_mv AT monikabudzynska domainswhicharelocallyuniformlylinearlyconvexinthekobayashidistance
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