On Numerical Radius Bounds Involving Generalized Aluthge Transform
In this paper, we establish some upper bounds of the numerical radius of a bounded linear operator S defined on a complex Hilbert space with polar decomposition S=U∣S∣, involving generalized Aluthge transform. These bounds generalize some bounds of the numerical radius existing in the literature. Mo...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/2897323 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850178357302394880 |
|---|---|
| author | Tao Yan Javariya Hyder Muhammad Saeed Akram Ghulam Farid Kamsing Nonlaopon |
| author_facet | Tao Yan Javariya Hyder Muhammad Saeed Akram Ghulam Farid Kamsing Nonlaopon |
| author_sort | Tao Yan |
| collection | DOAJ |
| description | In this paper, we establish some upper bounds of the numerical radius of a bounded linear operator S defined on a complex Hilbert space with polar decomposition S=U∣S∣, involving generalized Aluthge transform. These bounds generalize some bounds of the numerical radius existing in the literature. Moreover, we consider particular cases of generalized Aluthge transform and give some examples where some upper bounds of numerical radius are computed and analyzed for certain operators. |
| format | Article |
| id | doaj-art-bb63acdb334e40be830ae89ba91ea965 |
| institution | OA Journals |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-bb63acdb334e40be830ae89ba91ea9652025-08-20T02:18:46ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/2897323On Numerical Radius Bounds Involving Generalized Aluthge TransformTao Yan0Javariya Hyder1Muhammad Saeed Akram2Ghulam Farid3Kamsing Nonlaopon4School of Computer ScienceDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsIn this paper, we establish some upper bounds of the numerical radius of a bounded linear operator S defined on a complex Hilbert space with polar decomposition S=U∣S∣, involving generalized Aluthge transform. These bounds generalize some bounds of the numerical radius existing in the literature. Moreover, we consider particular cases of generalized Aluthge transform and give some examples where some upper bounds of numerical radius are computed and analyzed for certain operators.http://dx.doi.org/10.1155/2022/2897323 |
| spellingShingle | Tao Yan Javariya Hyder Muhammad Saeed Akram Ghulam Farid Kamsing Nonlaopon On Numerical Radius Bounds Involving Generalized Aluthge Transform Journal of Function Spaces |
| title | On Numerical Radius Bounds Involving Generalized Aluthge Transform |
| title_full | On Numerical Radius Bounds Involving Generalized Aluthge Transform |
| title_fullStr | On Numerical Radius Bounds Involving Generalized Aluthge Transform |
| title_full_unstemmed | On Numerical Radius Bounds Involving Generalized Aluthge Transform |
| title_short | On Numerical Radius Bounds Involving Generalized Aluthge Transform |
| title_sort | on numerical radius bounds involving generalized aluthge transform |
| url | http://dx.doi.org/10.1155/2022/2897323 |
| work_keys_str_mv | AT taoyan onnumericalradiusboundsinvolvinggeneralizedaluthgetransform AT javariyahyder onnumericalradiusboundsinvolvinggeneralizedaluthgetransform AT muhammadsaeedakram onnumericalradiusboundsinvolvinggeneralizedaluthgetransform AT ghulamfarid onnumericalradiusboundsinvolvinggeneralizedaluthgetransform AT kamsingnonlaopon onnumericalradiusboundsinvolvinggeneralizedaluthgetransform |