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" alt="Descripción: http://fbpe/img/cubo/v14n1/art09-03.jpg">)-approximate operators studied by Mirzavaziri, Miura and Mos...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universidad de La Frontera
2012-01-01
|
| Series: | Cubo |
| Subjects: | |
| Online Access: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462012000100009 |
| 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" alt="Descripción: 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" alt="Descripción: 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" alt="Descripción: http://fbpe/img/cubo/v14n1/art09-02.jpg">.<br>Esta trabajo es una continuación del trabajo sobre operadores (p; <img border=0 width=17 height=18 id="_x0000_i1031" src="http://fbpe/img/cubo/v14n1/art09-03.jpg" alt="Descripción: http://fbpe/img/cubo/v14n1/art09-03.jpg">)-aproximados estudiados por Mirzavaziri, Miura y Moslehian [4]. Investigamos isometrás parciales aproximadas e inversas aproximadas generalizadas. También probamos que si T es una contracción invertible que satisface <img border=0 width=232 height=54 id="_x0000_i1030" src="http://fbpe/img/cubo/v14n1/art09-01.jpg" alt="Descripción: http://fbpe/img/cubo/v14n1/art09-01.jpg">entonces existe una isometría parcial V tal que <img border=0 width=247 height=44 id="_x0000_i1029" src="http://fbpe/img/cubo/v14n1/art09-02.jpg" alt="Descripción: http://fbpe/img/cubo/v14n1/art09-02.jpg"> |
|---|---|
| ISSN: | 0716-7776 0719-0646 |