A note on \(B\)-complete spaces and the closed graph theorem
type: Item
instance of: scholarly article
title: A note on \(B\)-complete spaces and the closed graph theorem
zbMATH Open document ID: 0635.46003
DOI: 10.1007/BF01462886
author: S. O. Iyahen
published in: Mathematische Annalen
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164484
review text: It is proved that a generalized *-inductive limit \(E\) of a sequence of compact sets is \(B\)-complete, and that a closed linear map from \(E\) into itself is continuous, though this fails for an arbitrary \(B\)-complete space. It is also shown that a \(B\)-complete space in which subspaces are closed, has countable dimension.
Mathematics Subject Classification ID: 46A30
zbMATH DE Number: 4034379
zbMATH Keywords: generalized *-inductive limit
zbMATH Keywords: sequence of compact sets
zbMATH Keywords: B-complete
MaRDI profile type: Publication
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OpenAlex ID: W2011322039
description: scientific article; zbMATH DE number 4034379