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Starlike and convex rational mappings on infinite dimensional domains |
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| Authors: | Cho‐Ho Chu Hidetaka Hamada Tatsuhiro Honda Gabriela Kohr |
| Institution: | 1. Queen Mary, University of London, London E1 4NS, England;2. Phone: +44 20 7882 5218, Fax: +44 20 8981 9587;3. Kyushu Sangyo University, Fukuoka 813‐8503, Japan;4. Phone: +81 92 6735843, Fax: +81 92 673 5699;5. Hiroshima Institute of Technology, Hiroshima 731‐5193, Japan;6. Babe?–Bolyai University, 1 M. Kog?lniceanu Str. 400084 Cluj‐Napoca, Romania;7. Phone: +40 264 40 5300, Fax: +40 264 59 1906 |
| 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 (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
| Keywords: | Banach space convex mapping rational mapping starlike mapping |