Spaces of compact operators which are \(M\)-ideals in \(L(X,Y)\)
type: Item
instance of: scholarly article
title: Spaces of compact operators which are \(M\)-ideals in \(L(X,Y)\)
zbMATH Open document ID: 0762.46009
DOI: 10.1155/S0161171292000802
author: Chong-Man Cho
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1993-01-16T00:00:00Z
full work available at URL: https://eudml.org/doc/46793
review text: The main result is the following. Let \(X\), \(Y\) be reflexive spaces and \(L(X,Y)\) the class of all bounded linear operators from \(X\) to \(Y\). If \(K(X,Y)\) (the space of all compact linear operators from \(X\) to \(Y\)) is an \(M\)-ideal in \(L(X,Y)\), then its second dual \(K(X,Y)^{**}\) is isometrically isomorphic to \(L(X,Y)\).
reviewed by: Mihai Turinici
Mathematics Subject Classification ID: 46B28
Mathematics Subject Classification ID: 47L05
Mathematics Subject Classification ID: 46A32
Mathematics Subject Classification ID: 46M05
zbMATH DE Number: 89256
zbMATH Keywords: projective tensor product
zbMATH Keywords: reflexive spaces
zbMATH Keywords: bounded linear operators
zbMATH Keywords: compact linear operators
zbMATH Keywords: \(M\)-ideal
MaRDI profile type: Publication
OpenAlex ID: W1994201391
description: scientific article; zbMATH DE number 89256