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Starlike and convex rational mappings on infinite dimensional domains

✍ Scribed by Cho-Ho Chu; Hidetaka Hamada; Tatsuhiro Honda; Gabriela Kohr

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
118 KB
Volume
282
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We give starlike criteria for a class of rational mappings on the open unit ball of a complex Banach space. We also give a sufficient condition for these mappings to be convex when they are defined in Hilbert spaces. These criteria facilitate the construction of concrete examples of starlike and convex mappings on infinite dimensional domains (Β© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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