FIXED POINT THEOREMS FOR INFINITE DIMENSIONAL HOLOMORPHIC FUNCTIONS

DOI10.4134/JKMS.2004.41.1.175zbMath1051.46030OpenAlexW2154658228MaRDI QIDQ4454367

Lawrence A. Harris

Publication date: 8 March 2004

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4134/jkms.2004.41.1.175

zbMATH Keywords

fixed pointFréchet derivativeconvex domainBloch radiusCartan's uniqueness theoremholomorphic numerical range

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Infinite-dimensional holomorphy (46G20) Holomorphic maps in nonlinear functional analysis (46T25) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Related Items (2)

Analysis of the inverse Born series: an approach through geometric function theory ⋮ Abel averages and holomorphically pseudo-contractive maps in Banach spaces

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