Approximation numbers of nuclear operators and geometry of Banach spaces
type: Item
instance of: scholarly article
title: Approximation numbers of nuclear operators and geometry of Banach spaces
zbMATH Open document ID: 0749.47011
DOI: 10.1007/BF01190003
published in: Archiv der Mathematik
publication date: 1992-09-27T00:00:00Z
review text: We give conditions on Banach spaces \(E\) and \(F\) which guarantee that, for every nuclear operator from \(E\) into \(F\), the sequence of approximation numbers belongs to the Marcinkiewicz space \(\ell_{s,\infty}\) with \(1\leq s<\infty\).
Mathematics Subject Classification ID: 47B10
Mathematics Subject Classification ID: 46A45
Mathematics Subject Classification ID: 47B06
zbMATH DE Number: 62229
zbMATH Keywords: nuclear operator
zbMATH Keywords: approximation numbers
zbMATH Keywords: Marcinkiewicz space
author: Albrecht Pietsch
reviewed by: Albrecht Pietsch
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 62229