On the Joint <i>A</i>-Numerical Radius of Operators and Related Inequalities
In this paper, we study <i>p</i>-tuples of bounded linear operators on a complex Hilbert space with adjoint operators defined with respect to a non-zero positive operator <i>A</i>. Our main objective is to investigate the joint <i>A</i>-numerical radius of the <...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-05-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/10/2293 |
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| author | Najla Altwaijry Silvestru Sever Dragomir Kais Feki |
| author_facet | Najla Altwaijry Silvestru Sever Dragomir Kais Feki |
| author_sort | Najla Altwaijry |
| collection | DOAJ |
| description | In this paper, we study <i>p</i>-tuples of bounded linear operators on a complex Hilbert space with adjoint operators defined with respect to a non-zero positive operator <i>A</i>. Our main objective is to investigate the joint <i>A</i>-numerical radius of the <i>p</i>-tuple.We established several upper bounds for it, some of which extend and improve upon a previous work of the second author. Additionally, we provide several sharp inequalities involving the classical <i>A</i>-numerical radius and the <i>A</i>-seminorm of semi-Hilbert space operators as applications of our results. |
| first_indexed | 2024-03-11T03:31:10Z |
| format | Article |
| id | doaj.art-47c02c5424fd4732a007531e2463757e |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T03:31:10Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-47c02c5424fd4732a007531e2463757e2023-11-18T02:18:50ZengMDPI AGMathematics2227-73902023-05-011110229310.3390/math11102293On the Joint <i>A</i>-Numerical Radius of Operators and Related InequalitiesNajla Altwaijry0Silvestru Sever Dragomir1Kais Feki2Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaMathematics, College of Sport, Health and Engineering, Victoria University, P.O. Box 14428, Melbourne City, VIC 8001, AustraliaFaculty of Economic Sciences and Management of Mahdia, University of Monastir, Mahdia 5111, TunisiaIn this paper, we study <i>p</i>-tuples of bounded linear operators on a complex Hilbert space with adjoint operators defined with respect to a non-zero positive operator <i>A</i>. Our main objective is to investigate the joint <i>A</i>-numerical radius of the <i>p</i>-tuple.We established several upper bounds for it, some of which extend and improve upon a previous work of the second author. Additionally, we provide several sharp inequalities involving the classical <i>A</i>-numerical radius and the <i>A</i>-seminorm of semi-Hilbert space operators as applications of our results.https://www.mdpi.com/2227-7390/11/10/2293positive operatorjoint A-numerical radiusEuclidean operator A-seminormjoint operator A-seminorm |
| spellingShingle | Najla Altwaijry Silvestru Sever Dragomir Kais Feki On the Joint <i>A</i>-Numerical Radius of Operators and Related Inequalities Mathematics positive operator joint A-numerical radius Euclidean operator A-seminorm joint operator A-seminorm |
| title | On the Joint <i>A</i>-Numerical Radius of Operators and Related Inequalities |
| title_full | On the Joint <i>A</i>-Numerical Radius of Operators and Related Inequalities |
| title_fullStr | On the Joint <i>A</i>-Numerical Radius of Operators and Related Inequalities |
| title_full_unstemmed | On the Joint <i>A</i>-Numerical Radius of Operators and Related Inequalities |
| title_short | On the Joint <i>A</i>-Numerical Radius of Operators and Related Inequalities |
| title_sort | on the joint i a i numerical radius of operators and related inequalities |
| topic | positive operator joint A-numerical radius Euclidean operator A-seminorm joint operator A-seminorm |
| url | https://www.mdpi.com/2227-7390/11/10/2293 |
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