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. [4]. We investigate approximate partial isom...
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Universidad de La Frontera. Departamento de Matemática y Estadística.
2012
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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. [4]. 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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Scielo Chile |
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Scielo Chile |
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English |
topic |
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 |
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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 Maher,Philip J Sal Moslehian,Mohammad 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. [4]. 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">. |
author |
Maher,Philip J Sal Moslehian,Mohammad |
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 |
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 |
work_keys_str_mv |
AT maherphilipj moreonapproximateoperators AT salmoslehianmohammad moreonapproximateoperators |
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1714206776786681856 |