Factorization of holomorphic mappings in infinite dimensions
type: Item
instance of: scholarly article
title: Factorization of holomorphic mappings in infinite dimensions
zbMATH Open document ID: 0611.46053
DOI: 10.1007/BF01457861
author: R. A. Ryan
author: Richard M. Aron
author: Luiza A. Moraes
published in: Mathematische Annalen
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164269
review text: Let E be a complex locally convex space and let F be a subspace of E. We establish necessary and sufficient conditions for a holomorphic function on E to factor through the quotient space E/F. In the case where E is a Banach space, we examine when certain properties of a factorizable holomorphic function on E are preserved. Consequences of this when \(E=c_ 0\) and \(E=Tsirelson's\) original space are discussed. Finally, we examine the topological nature of the natural inclusion of H(E/F) in H(E).
Mathematics Subject Classification ID: 46G20
zbMATH DE Number: 3987999
zbMATH Keywords: factorizable holomorphic function
zbMATH Keywords: Tsirelson space
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3987999