Holomorphically ultrabornological spaces and holomorphic inductive limits
type: Item
instance of: scholarly article
title: Holomorphically ultrabornological spaces and holomorphic inductive limits
zbMATH Open document ID: 0626.46040
DOI: 10.1016/0022-247X(87)90020-5
author: Pablo Galindo
author: Domingo García
author: Manuel Maestre
published in: Journal of Mathematical Analysis and Applications
publication date: 1987-01-01T00:00:00Z
review text: The holomorphically ultrabornological spaces are introduced. Their relation with other holomorphically significant classes of locally convex spaces is established and separating examples are given, including the existence in any infinite dimensional Banach space of non ultrabornological Baire hyperplanes. Some apparently new properties of holomorphically ultrabornological spaces are included and holomorphically ultrabornological spaces are utilized in a problem posed by Nachbin.
Mathematics Subject Classification ID: 46G20
Mathematics Subject Classification ID: 46A08
Mathematics Subject Classification ID: 46M40
zbMATH DE Number: 4017640
zbMATH Keywords: Baire space
zbMATH Keywords: holomorphically ultrabornological spaces
zbMATH Keywords: holomorphically significant classes of locally convex spaces
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4017640