Norm for Sums of Two Basic Elementary Operators
We give necessary and sufficient conditions under which the norm of basic elementary operators attains its optimal value in terms of the numerical range.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/643568 |
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| _version_ | 1850163796163690496 |
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| author | A. Bachir F. Lombarkia A. Segres |
| author_facet | A. Bachir F. Lombarkia A. Segres |
| author_sort | A. Bachir |
| collection | DOAJ |
| description | We give necessary and sufficient conditions under which the norm of basic elementary operators attains its optimal value in terms of the numerical range. |
| format | Article |
| id | doaj-art-ed027d3f91b14a5baa68e5bd9b8d7fbd |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ed027d3f91b14a5baa68e5bd9b8d7fbd2025-08-20T02:22:09ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/643568643568Norm for Sums of Two Basic Elementary OperatorsA. Bachir0F. Lombarkia1A. Segres2Department of Mathematics, Faculty of Science, King Khalid University, P.O. Box 9004, Abha, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Khalid University, P.O. Box 9004, Abha, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Khalid University, P.O. Box 9004, Abha, Saudi ArabiaWe give necessary and sufficient conditions under which the norm of basic elementary operators attains its optimal value in terms of the numerical range.http://dx.doi.org/10.1155/2012/643568 |
| spellingShingle | A. Bachir F. Lombarkia A. Segres Norm for Sums of Two Basic Elementary Operators International Journal of Mathematics and Mathematical Sciences |
| title | Norm for Sums of Two Basic Elementary Operators |
| title_full | Norm for Sums of Two Basic Elementary Operators |
| title_fullStr | Norm for Sums of Two Basic Elementary Operators |
| title_full_unstemmed | Norm for Sums of Two Basic Elementary Operators |
| title_short | Norm for Sums of Two Basic Elementary Operators |
| title_sort | norm for sums of two basic elementary operators |
| url | http://dx.doi.org/10.1155/2012/643568 |
| work_keys_str_mv | AT abachir normforsumsoftwobasicelementaryoperators AT flombarkia normforsumsoftwobasicelementaryoperators AT asegres normforsumsoftwobasicelementaryoperators |