A Fuglede-Putnam property for <em>N</em>-class <em>A</em>(<em>k</em>) operators
This paper studies the Fuglede-Putnam's property for $N$-class $A(k)$ operators and $\mathcal{Y}$ class operators. Some range-kernel orthogonality results of the generalized derivation induced by the above classes of operators are given.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-09-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/10.3934/math.2020477/fulltext.html |
| _version_ | 1828425835195924480 |
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| author | Ahmed Bachir Durairaj Senthilkumar Nawal Ali Sayyaf |
| author_facet | Ahmed Bachir Durairaj Senthilkumar Nawal Ali Sayyaf |
| author_sort | Ahmed Bachir |
| collection | DOAJ |
| description | This paper studies the Fuglede-Putnam's property for $N$-class $A(k)$ operators and $\mathcal{Y}$ class operators. Some range-kernel orthogonality results of the generalized derivation induced by the above classes of operators are given. |
| first_indexed | 2024-12-10T16:37:09Z |
| format | Article |
| id | doaj.art-66c2de6aa96442a3953cd38db80f13f7 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-10T16:37:09Z |
| publishDate | 2020-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-66c2de6aa96442a3953cd38db80f13f72022-12-22T01:41:21ZengAIMS PressAIMS Mathematics2473-69882020-09-01567458746610.3934/math.2020477A Fuglede-Putnam property for <em>N</em>-class <em>A</em>(<em>k</em>) operatorsAhmed Bachir0Durairaj Senthilkumar1Nawal Ali Sayyaf21 Department of Mathematics, College of Science, King Khalid University, Abha, Saudi Arabia2 Government Arts College, Coimbatore, Tamilnadu, India3 Department of Mathematics, College of Science, University of Bisha, Bisha, Saudi ArabiaThis paper studies the Fuglede-Putnam's property for $N$-class $A(k)$ operators and $\mathcal{Y}$ class operators. Some range-kernel orthogonality results of the generalized derivation induced by the above classes of operators are given.https://www.aimspress.com/article/10.3934/math.2020477/fulltext.htmlrange-kernel orthogonalityhyponormal operator$\mathcal{y}$ class operator$n$-class $a(k)$-operator |
| spellingShingle | Ahmed Bachir Durairaj Senthilkumar Nawal Ali Sayyaf A Fuglede-Putnam property for <em>N</em>-class <em>A</em>(<em>k</em>) operators AIMS Mathematics range-kernel orthogonality hyponormal operator $\mathcal{y}$ class operator $n$-class $a(k)$-operator |
| title | A Fuglede-Putnam property for <em>N</em>-class <em>A</em>(<em>k</em>) operators |
| title_full | A Fuglede-Putnam property for <em>N</em>-class <em>A</em>(<em>k</em>) operators |
| title_fullStr | A Fuglede-Putnam property for <em>N</em>-class <em>A</em>(<em>k</em>) operators |
| title_full_unstemmed | A Fuglede-Putnam property for <em>N</em>-class <em>A</em>(<em>k</em>) operators |
| title_short | A Fuglede-Putnam property for <em>N</em>-class <em>A</em>(<em>k</em>) operators |
| title_sort | fuglede putnam property for em n em class em a em em k em operators |
| topic | range-kernel orthogonality hyponormal operator $\mathcal{y}$ class operator $n$-class $a(k)$-operator |
| url | https://www.aimspress.com/article/10.3934/math.2020477/fulltext.html |
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