Iteration of holomorphic maps in Hilbert spaces

DOI10.1016/0022-247X(85)90291-4zbMath0579.32024OpenAlexW2103421836MaRDI QIDQ1067049

Gong-Ning Chen

Publication date: 1985

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(85)90291-4

zbMATH Keywords

weak topologyorthogonal projectionMöbius transformationiteration of holomorphic maps in Hilbert spaces

Mathematics Subject Classification ID

Holomorphic mappings and correspondences (32H99) Inner product spaces and their generalizations, Hilbert spaces (46C99) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

Cites Work

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• Iteration for holomorphic maps of the open unit ball and the generalized upper half-plane of \({\mathbb{C}}^ n\)
• Iteration of analytic functions of operators
• Biholomorphic maps in Hilbert space have a fixed point
• Iteration of analytic functions of operators. II†
• Iterating Analytic Self-Maps of Discs