An \(n\times n\) matrix of linear functionals of \(C^{*}\)-algebras
type: Item
instance of: scholarly article
title: An \(n\times n\) matrix of linear functionals of \(C^{*}\)-algebras
zbMATH Open document ID: 1001.47023
DOI: 10.1155/S016117120200697X
author: W. T. Sulaiman
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2002-08-12T00:00:00Z
full work available at URL: https://eudml.org/doc/49608
full work available at URL: S016117120200697X.html
review text: Summary: We show that any bounded matrix of linear functionals \([ f_{ ij}]:M_{n} (A)\to M_{n} ({\mathbb C})\) has a representation \(f_{ ij} (a)=\langle T\pi (a)x_{j},x_{i}\rangle\), \(a\in A\), \(i,j=1,2,\dots,n\), for some representation \(\pi\) on a Hilbert space \(K\) and an \(n\) vectors \(x _{1,}x_{2},\dots,x_{n}\) in \(K\).
Mathematics Subject Classification ID: 47B49
Mathematics Subject Classification ID: 47B65
zbMATH DE Number: 1779097
zbMATH Keywords: bounded matrix of linear functionals
zbMATH Keywords: representation
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1779097