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Starlike and convex rational mappings on infinite dimensional domains
Author(s) -
Chu ChoHo,
Hamada Hidetaka,
Honda Tatsuhiro,
Kohr Gabriela
Publication year - 2009
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200610729
Subject(s) - mathematics , banach space , unit sphere , regular polygon , hilbert space , pure mathematics , class (philosophy) , ball (mathematics) , space (punctuation) , mathematical analysis , computer science , geometry , artificial intelligence , operating system
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 (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)