A Montel theorem for holomorphic functions on infinite dimensional spaces that omit the values 0 and 1

DOI10.1007/BF03321682zbMath1172.46030MaRDI QIDQ934539

Clifford J. Earle

Publication date: 29 July 2008

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

zbMATH Keywords

Kobayashi distancecompact-open topologytopology of pointwise convergencenormal familycomplex Banach manifoldMontel theoremMontel-Carathéodory theorem

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Normal families of holomorphic functions, mappings of several complex variables, and related topics (taut manifolds etc.) (32A19)

Cites Work

• Normal families of holomorphic functions on infinite-dimensional spaces
• A Schottky-type theorem for starlike domains in Banach spaces
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