Entropy and Lorentz-Marcinkiewicz operator ideals
type: Item
instance of: scholarly article
title: Entropy and Lorentz-Marcinkiewicz operator ideals
zbMATH Open document ID: 0651.47034
DOI: 10.1007/BF02384444
author: Fernando Cobos
published in: Arkiv för Matematik
publication date: 1987-01-01T00:00:00Z
review text: The paper deals with ideals of operators for which the sequence of their entropy numbers \((e_ n(T))\) belongs to a Lorentz-Marcinkiewicz space \(\ell_{\phi,q}\), where \(\phi\) is a so-called function parameter. In the case \(\phi (t)=t^ p\) the classical Lorentz space \(\ell_{p,q}\) results. These ideals are compared with that obtained from the approximation, Gelfand and Kolmogorov numbers. The author further proves interpolation theorems and results about eigenvalue distributions.
Mathematics Subject Classification ID: 47L10
Mathematics Subject Classification ID: 47B10
Mathematics Subject Classification ID: 47A10
zbMATH DE Number: 4061992
zbMATH Keywords: ideals of operators
zbMATH Keywords: entropy numbers
zbMATH Keywords: Lorentz-Marcinkiewicz space
zbMATH Keywords: approximation, Gelfand and Kolmogorov numbers
zbMATH Keywords: interpolation theorems
zbMATH Keywords: eigenvalue distributions
reviewed by: Albrecht Pietsch
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4061992