Geometry of operator spaces
type: Item
instance of: scholarly article
title: Geometry of operator spaces
zbMATH Open document ID: 0823.46023
author: Åsvald Lima
author: T.S.S.R.K. Rao
author: Eve Oja
author: Dirk Werner
published in: Michigan Mathematical Journal
publication date: 1995-11-05T00:00:00Z
review text: The authors investigate the position of \(K(X, Y)\), the space of compact linear operators between Banach spaces \(X\) and \(Y\), in \(L(X, Y)\), the space of bounded linear operators. The position is characterized in terms of M-ideals and unique Hahn-Banach extensions of continuous linear functionals from \(K(X, Y)\) to \(L(X, Y)\). In particular, the authors investigated the class of spaces \(Y\) for which \(K(\ell_ 1, Y)\) is an M- ideal in \(L(\ell_ 1, Y)\) and an important role of the case \(X= \ell_ 1\) in the present context.
Mathematics Subject Classification ID: 46B28
Mathematics Subject Classification ID: 47B07
Mathematics Subject Classification ID: 46A22
zbMATH DE Number: 731830
zbMATH Keywords: space of compact linear operators between Banach spaces
zbMATH Keywords: M-ideals
zbMATH Keywords: unique Hahn-Banach extensions
reviewed by: Mikhail Ostrovskii
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1307/mmj/1029005074
OpenAlex ID: W1967037937
DOI: 10.1307/MMJ/1029005074
description: scientific article; zbMATH DE number 731830