The Carathéodory–Cartan–Kaup–Wu Theorem on an Infinite-Dimensional Hilbert Space

DOI10.1017/S0027763000025721zbMath1143.46024arXivmath/0702620OpenAlexW1480049100MaRDI QIDQ5427240

Kang-Tae Kim, Joseph A. Cima, Ian Graham, Steven G. Krantz

Publication date: 19 November 2007

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702620

zbMATH Keywords

fixed pointHilbert spaceinfinite-dimensional Schwarz lemma

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Normal families of holomorphic functions, mappings of several complex variables, and related topics (taut manifolds etc.) (32A19)

Related Items (3)

THE CARATHE ́ODORY-CARTAN-KAUP-WU THEOREM ON KOBAYASHI HYPERBOLIC ALMOST COMPLEX MANIFOLDS ⋮ Biholomorphic functions in dual Banach spaces ⋮ Biholomorphic Mappings on Banach Spaces

Cites Work

• Normal families of holomorphic functions and mappings on a Banach space
• Characterization of the Hilbert ball by its automorphism group
• Triangular Operators
• The Dolbeault complex in infinite dimensions I
• Normal families of holomorphic mappings
• Normal families of holomorphic mappings
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