More on Approximate Operators

More on Approximate Operators

This note is a continuation of the work on (p; <img border=0 width=17 height=18 id="_x0000_i1035" src="http:/fbpe/img/cubo/v14n1/art09-03.jpg">)-approximate operators studied by Mirzavaziri, Miura and Moslehian. &#091;4&#093;. We investigate approximate partial isometries and approximate generalized inverses. We also prove that if T is an invertible contraction satisfying <img border=0 width=232 height=54 id="_x0000_i1034" src="http:/fbpe/img/cubo/v14n1/art09-01.jpg">. Then there exists a partial isometry V such that <img border=0 width=247 height=44 id="_x0000_i1033" src="http:/fbpe/img/cubo/v14n1/art09-02.jpg">.

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Main Authors: Maher,Philip J, Sal Moslehian,Mohammad
Format: Digital revista
Language:English
Published: Universidad de La Frontera. Departamento de Matemática y Estadística. 2012
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462012000100009
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spelling oai:scielo:S0719-064620120001000092018-10-08More on Approximate OperatorsMaher,Philip JSal Moslehian,Mohammad Hilbert space approximation unitary partial isometry polar decomposition p; <img border=0 width=17 height=18 id="_x0000_i1032" src="http:/fbpe/img/cubo/v14n1/art09-03.jpg">)-approximate operator This note is a continuation of the work on (p; <img border=0 width=17 height=18 id="_x0000_i1035" src="http:/fbpe/img/cubo/v14n1/art09-03.jpg">)-approximate operators studied by Mirzavaziri, Miura and Moslehian. &#091;4&#093;. We investigate approximate partial isometries and approximate generalized inverses. We also prove that if T is an invertible contraction satisfying <img border=0 width=232 height=54 id="_x0000_i1034" src="http:/fbpe/img/cubo/v14n1/art09-01.jpg">. Then there exists a partial isometry V such that <img border=0 width=247 height=44 id="_x0000_i1033" src="http:/fbpe/img/cubo/v14n1/art09-02.jpg">.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.14 n.1 20122012-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462012000100009en10.4067/S0719-06462012000100009
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libraryname SciELO
language English
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author Maher,Philip J
Sal Moslehian,Mohammad
spellingShingle Maher,Philip J
Sal Moslehian,Mohammad
More on Approximate Operators
author_facet Maher,Philip J
Sal Moslehian,Mohammad
author_sort Maher,Philip J
title More on Approximate Operators
title_short More on Approximate Operators
title_full More on Approximate Operators
title_fullStr More on Approximate Operators
title_full_unstemmed More on Approximate Operators
title_sort more on approximate operators
description This note is a continuation of the work on (p; <img border=0 width=17 height=18 id="_x0000_i1035" src="http:/fbpe/img/cubo/v14n1/art09-03.jpg">)-approximate operators studied by Mirzavaziri, Miura and Moslehian. &#091;4&#093;. We investigate approximate partial isometries and approximate generalized inverses. We also prove that if T is an invertible contraction satisfying <img border=0 width=232 height=54 id="_x0000_i1034" src="http:/fbpe/img/cubo/v14n1/art09-01.jpg">. Then there exists a partial isometry V such that <img border=0 width=247 height=44 id="_x0000_i1033" src="http:/fbpe/img/cubo/v14n1/art09-02.jpg">.
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2012
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462012000100009
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