Roundness and metric type
type: Item
instance of: scholarly article
title: Roundness and metric type
zbMATH Open document ID: 0972.46009
author: Yanyan Li
published in: Journal of Mathematical Analysis and Applications
publication date: 2001-11-02T00:00:00Z
review text: The authors prove that if \(X\) is a Banach space including \(\ell_p^n\) uniformly in \(n\) and \(Y\) is metric space with metric type \(q>p\) then the inverse of each uniform homeomorphism from \(X\) to \(Y\) fails to satisfy any Lipschitz condition for large distances of order \(< q/p\). Some applications to cotype and roundness are discussed.
Mathematics Subject Classification ID: 46B25
zbMATH DE Number: 1563105
zbMATH Keywords: cotype
zbMATH Keywords: metric type
zbMATH Keywords: rotundness
zbMATH Keywords: uniform homeomorphism
reviewed by: S. S. Kutateladze
MaRDI profile type: Publication
full work available at URL: jmaa.2000.6917
OpenAlex ID: W2011857508
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DOI: 10.1006/JMAA.2000.6917
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description: scientific article; zbMATH DE number 1563105