Some inequalities related to 2 × 2 $2\times 2$ block sector partial transpose matrices
Abstract In this article, two inequalities related to 2 × 2 $2\times 2$ block sector partial transpose matrices are proved, and we also present a unitarily invariant norm inequality for the Hua matrix which is sharper than an existing result.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-04-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-020-02358-0 |
| _version_ | 1811331563130978304 |
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| author | Junjian Yang Linzhang Lu Zhen Chen |
| author_facet | Junjian Yang Linzhang Lu Zhen Chen |
| author_sort | Junjian Yang |
| collection | DOAJ |
| description | Abstract In this article, two inequalities related to 2 × 2 $2\times 2$ block sector partial transpose matrices are proved, and we also present a unitarily invariant norm inequality for the Hua matrix which is sharper than an existing result. |
| first_indexed | 2024-04-13T16:22:31Z |
| format | Article |
| id | doaj.art-02b378fe771b4669ba2a0ba63d29bae2 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-13T16:22:31Z |
| publishDate | 2020-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-02b378fe771b4669ba2a0ba63d29bae22022-12-22T02:39:51ZengSpringerOpenJournal of Inequalities and Applications1029-242X2020-04-01202011610.1186/s13660-020-02358-0Some inequalities related to 2 × 2 $2\times 2$ block sector partial transpose matricesJunjian Yang0Linzhang Lu1Zhen Chen2School of Mathematical Sciences, Guizhou Normal UniversitySchool of Mathematical Sciences, Guizhou Normal UniversitySchool of Mathematical Sciences, Guizhou Normal UniversityAbstract In this article, two inequalities related to 2 × 2 $2\times 2$ block sector partial transpose matrices are proved, and we also present a unitarily invariant norm inequality for the Hua matrix which is sharper than an existing result.http://link.springer.com/article/10.1186/s13660-020-02358-0Sector partial transpose matricesUnitarily invariant normsLinear maps |
| spellingShingle | Junjian Yang Linzhang Lu Zhen Chen Some inequalities related to 2 × 2 $2\times 2$ block sector partial transpose matrices Journal of Inequalities and Applications Sector partial transpose matrices Unitarily invariant norms Linear maps |
| title | Some inequalities related to 2 × 2 $2\times 2$ block sector partial transpose matrices |
| title_full | Some inequalities related to 2 × 2 $2\times 2$ block sector partial transpose matrices |
| title_fullStr | Some inequalities related to 2 × 2 $2\times 2$ block sector partial transpose matrices |
| title_full_unstemmed | Some inequalities related to 2 × 2 $2\times 2$ block sector partial transpose matrices |
| title_short | Some inequalities related to 2 × 2 $2\times 2$ block sector partial transpose matrices |
| title_sort | some inequalities related to 2 2 2 times 2 block sector partial transpose matrices |
| topic | Sector partial transpose matrices Unitarily invariant norms Linear maps |
| url | http://link.springer.com/article/10.1186/s13660-020-02358-0 |
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