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 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: | , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Universidad de La Frontera. Departamento de Matemática y Estadística.
2012
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| Online Access: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462012000100009 |
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| Summary: | 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">. |
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