Spectral Radius Formulas Involving Generalized Aluthge Transform
In this paper, we aim to develop formulas of spectral radius for an operator S in terms of generalized Aluthge transform, numerical radius, iterated generalized Aluthge transform, and asymptotic behavior of powers of S. These formulas generalize some of the formulas of spectral radius existing in li...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/3993044 |
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| _version_ | 1849435213901332480 |
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| author | Zhiqiang Zhang Muhammad Saeed Akram Javariya Hyder Ghulam Farid Tao Yan |
| author_facet | Zhiqiang Zhang Muhammad Saeed Akram Javariya Hyder Ghulam Farid Tao Yan |
| author_sort | Zhiqiang Zhang |
| collection | DOAJ |
| description | In this paper, we aim to develop formulas of spectral radius for an operator S in terms of generalized Aluthge transform, numerical radius, iterated generalized Aluthge transform, and asymptotic behavior of powers of S. These formulas generalize some of the formulas of spectral radius existing in literature. As an application, these formulas are used to obtain several characterizations of normaloid operators. |
| format | Article |
| id | doaj-art-df9bb5bc16ad4bbaa04ccb7b50620bf8 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-df9bb5bc16ad4bbaa04ccb7b50620bf82025-08-20T03:26:22ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/3993044Spectral Radius Formulas Involving Generalized Aluthge TransformZhiqiang Zhang0Muhammad Saeed Akram1Javariya Hyder2Ghulam Farid3Tao Yan4School of Computer ScienceDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsSchool of Computer ScienceIn this paper, we aim to develop formulas of spectral radius for an operator S in terms of generalized Aluthge transform, numerical radius, iterated generalized Aluthge transform, and asymptotic behavior of powers of S. These formulas generalize some of the formulas of spectral radius existing in literature. As an application, these formulas are used to obtain several characterizations of normaloid operators.http://dx.doi.org/10.1155/2022/3993044 |
| spellingShingle | Zhiqiang Zhang Muhammad Saeed Akram Javariya Hyder Ghulam Farid Tao Yan Spectral Radius Formulas Involving Generalized Aluthge Transform Journal of Function Spaces |
| title | Spectral Radius Formulas Involving Generalized Aluthge Transform |
| title_full | Spectral Radius Formulas Involving Generalized Aluthge Transform |
| title_fullStr | Spectral Radius Formulas Involving Generalized Aluthge Transform |
| title_full_unstemmed | Spectral Radius Formulas Involving Generalized Aluthge Transform |
| title_short | Spectral Radius Formulas Involving Generalized Aluthge Transform |
| title_sort | spectral radius formulas involving generalized aluthge transform |
| url | http://dx.doi.org/10.1155/2022/3993044 |
| work_keys_str_mv | AT zhiqiangzhang spectralradiusformulasinvolvinggeneralizedaluthgetransform AT muhammadsaeedakram spectralradiusformulasinvolvinggeneralizedaluthgetransform AT javariyahyder spectralradiusformulasinvolvinggeneralizedaluthgetransform AT ghulamfarid spectralradiusformulasinvolvinggeneralizedaluthgetransform AT taoyan spectralradiusformulasinvolvinggeneralizedaluthgetransform |