On the generalized Roper-Suffridge extension operator in Banach spaces | Zendy

Mingsheng Liu | Zendy; Yu-Can Zhu | Zendy

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On the generalized Roper-Suffridge extension operator in Banach spaces

Author(s) -

Mingsheng Liu,

Yu-Can Zhu

Publication year - 2005

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/ijmms.2005.1171

Subject(s) - mathematics , banach space , convexity , extension (predicate logic) , operator (biology) , pure mathematics , finite rank operator , discrete mathematics , computer science , biochemistry , chemistry , repressor , transcription factor , economics , gene , programming language , financial economics

The generalized Roper-Suffridge extension operator in Banach spaces is introduced. We prove that this operator preserves the starlikeness on some domains in Banach spaces and does not preserve convexity in some cases. Furthermore, the growth theorem and covering theorem of the corresponding mappings are given. Some results of Roper and Suffridge and Graham et al. in ℂn are extended to Banach spaces

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