On unconditional bases in spaces of holomorphic functions in infinite dimensions
type: Item
instance of: scholarly article
title: On unconditional bases in spaces of holomorphic functions in infinite dimensions
zbMATH Open document ID: 0706.46028
DOI: 10.1007/BF01200347
author: Andreas Defant
author: Luiza A. Morales
published in: Archiv der Mathematik
publication date: 1991-01-01T00:00:00Z
review text: Let E be a Fréchet-Montel space or a (DF)-Montel space having a strong dual with an absolute basis. If the monomials on E associated with that basis form an unconditional basis for the space of all holomorphic functions on E endowed with the compact-open topology, then E is nuclear. This is an extension of Dineen's and Timoney's recent solution of the so- called basis problem.
Mathematics Subject Classification ID: 46E50
Mathematics Subject Classification ID: 46A04
Mathematics Subject Classification ID: 46A35
Mathematics Subject Classification ID: 46A11
zbMATH DE Number: 4159413
zbMATH Keywords: Fréchet-Montel space
zbMATH Keywords: (DF)-Montel space
zbMATH Keywords: strong dual with an absolute basis
zbMATH Keywords: unconditional basis
zbMATH Keywords: space of all holomorphic functions
zbMATH Keywords: compact- open topology
zbMATH Keywords: nuclear
zbMATH Keywords: basis problem
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01200347
OpenAlex ID: W2091624779
description: scientific article; zbMATH DE number 4159413