A remark on λ-interwining hyponormal operators
<span style="font-family: CMCSC10; font-size: x-small;"><span style="font-family: CMCSC10; font-size: x-small;"><span style="font-family: CMCSC10; font-size: x-small;"><p>We extend a result concerning λ-commuting normal operators with empty point...
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
2014-10-01
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| Series: | Le Matematiche |
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| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1037 |
| _version_ | 1818502462407966720 |
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| author | Vasile Lauric |
| author_facet | Vasile Lauric |
| author_sort | Vasile Lauric |
| collection | DOAJ |
| description | <span style="font-family: CMCSC10; font-size: x-small;"><span style="font-family: CMCSC10; font-size: x-small;"><span style="font-family: CMCSC10; font-size: x-small;"><p>We extend a result concerning λ-commuting normal operators with empty point spectrum. More precisely, we prove that for a hyponormal operator T with empty point spectrum for which there exists a Hilbert-Schmidt operator K such that TK = λKT + μK for some |λ| < 1 and μ ∈ C, implies K = 0.<br /><br /></p></span></span></span><em><span style="font-family: CMMI8; font-size: x-small;"><em><span style="font-family: CMMI8; font-size: x-small;"><em></em></span></em></span><em><span style="font-family: CMMI8; font-size: x-small;"><em><span style="font-family: CMMI8; font-size: x-small;"><em></em></span></em></span></em><em></em></em> |
| first_indexed | 2024-12-10T21:10:36Z |
| format | Article |
| id | doaj.art-f454ba88bf704ea48960b018950afa55 |
| institution | Directory Open Access Journal |
| issn | 0373-3505 2037-5298 |
| language | English |
| last_indexed | 2024-12-10T21:10:36Z |
| publishDate | 2014-10-01 |
| publisher | Università degli Studi di Catania |
| record_format | Article |
| series | Le Matematiche |
| spelling | doaj.art-f454ba88bf704ea48960b018950afa552022-12-22T01:33:29ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982014-10-0169236899A remark on λ-interwining hyponormal operatorsVasile Lauric0Florida A&M University<span style="font-family: CMCSC10; font-size: x-small;"><span style="font-family: CMCSC10; font-size: x-small;"><span style="font-family: CMCSC10; font-size: x-small;"><p>We extend a result concerning λ-commuting normal operators with empty point spectrum. More precisely, we prove that for a hyponormal operator T with empty point spectrum for which there exists a Hilbert-Schmidt operator K such that TK = λKT + μK for some |λ| < 1 and μ ∈ C, implies K = 0.<br /><br /></p></span></span></span><em><span style="font-family: CMMI8; font-size: x-small;"><em><span style="font-family: CMMI8; font-size: x-small;"><em></em></span></em></span><em><span style="font-family: CMMI8; font-size: x-small;"><em><span style="font-family: CMMI8; font-size: x-small;"><em></em></span></em></span></em><em></em></em>http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1037lambda commuting operatorshyponormal operatorspoint spectrum |
| spellingShingle | Vasile Lauric A remark on λ-interwining hyponormal operators Le Matematiche lambda commuting operators hyponormal operators point spectrum |
| title | A remark on λ-interwining hyponormal operators |
| title_full | A remark on λ-interwining hyponormal operators |
| title_fullStr | A remark on λ-interwining hyponormal operators |
| title_full_unstemmed | A remark on λ-interwining hyponormal operators |
| title_short | A remark on λ-interwining hyponormal operators |
| title_sort | remark on λ interwining hyponormal operators |
| topic | lambda commuting operators hyponormal operators point spectrum |
| url | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1037 |
| work_keys_str_mv | AT vasilelauric aremarkonlinterwininghyponormaloperators AT vasilelauric remarkonlinterwininghyponormaloperators |