The basic sequence problem for quasi-normed spaces
type: Item
instance of: scholarly article
title: The basic sequence problem for quasi-normed spaces
zbMATH Open document ID: 0821.46003
DOI: 10.1007/BF01200441
author: Sik-Chung Tam
published in: Archiv der Mathematik
publication date: 1995-04-18T00:00:00Z
review text: A quasi-normed complex vector space is called \(A\)-convex if it has an equivalent plurisubharmonic quasi-norm. It is proved that every \(A\)- convex quasi-normed space \(X\) contains basic sequences. Consequently, \(X\) has a proper closed infinite-dimensional subspace.
Mathematics Subject Classification ID: 46A35
Mathematics Subject Classification ID: 46B15
zbMATH DE Number: 743533
zbMATH Keywords: plurisubharmonic function
zbMATH Keywords: \(A\)-convex quasi-normed space
zbMATH Keywords: basic sequences
reviewed by: Julian Musielak
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 743533