Numerical radius inequalities for Hilbert $C^*$-modules
We present a new method for studying the numerical radius of bounded operators on Hilbert $C^*$-modules. Our method enables us to obtain some new results and generalize some known theorems for bounded operators on Hilbert spaces to bounded adjointable operators on Hilbert $C^*$-module spaces.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics of the Czech Academy of Science
2022-12-01
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| Series: | Mathematica Bohemica |
| Subjects: | |
| Online Access: | http://mb.math.cas.cz/full/147/4/mb147_4_8.pdf |
| _version_ | 1811226024276393984 |
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| author | Sadaf Fakri Moghaddam Alireza Kamel Mirmostafaee |
| author_facet | Sadaf Fakri Moghaddam Alireza Kamel Mirmostafaee |
| author_sort | Sadaf Fakri Moghaddam |
| collection | DOAJ |
| description | We present a new method for studying the numerical radius of bounded operators on Hilbert $C^*$-modules. Our method enables us to obtain some new results and generalize some known theorems for bounded operators on Hilbert spaces to bounded adjointable operators on Hilbert $C^*$-module spaces. |
| first_indexed | 2024-04-12T09:17:08Z |
| format | Article |
| id | doaj.art-7a046688b93a44ed81662a48050b57e0 |
| institution | Directory Open Access Journal |
| issn | 0862-7959 2464-7136 |
| language | English |
| last_indexed | 2024-04-12T09:17:08Z |
| publishDate | 2022-12-01 |
| publisher | Institute of Mathematics of the Czech Academy of Science |
| record_format | Article |
| series | Mathematica Bohemica |
| spelling | doaj.art-7a046688b93a44ed81662a48050b57e02022-12-22T03:38:47ZengInstitute of Mathematics of the Czech Academy of ScienceMathematica Bohemica0862-79592464-71362022-12-01147454756610.21136/MB.2022.0066-21MB.2022.0066-21Numerical radius inequalities for Hilbert $C^*$-modulesSadaf Fakri MoghaddamAlireza Kamel MirmostafaeeWe present a new method for studying the numerical radius of bounded operators on Hilbert $C^*$-modules. Our method enables us to obtain some new results and generalize some known theorems for bounded operators on Hilbert spaces to bounded adjointable operators on Hilbert $C^*$-module spaces.http://mb.math.cas.cz/full/147/4/mb147_4_8.pdf numerical radius inner product space $c^*$-algebra |
| spellingShingle | Sadaf Fakri Moghaddam Alireza Kamel Mirmostafaee Numerical radius inequalities for Hilbert $C^*$-modules Mathematica Bohemica numerical radius inner product space $c^*$-algebra |
| title | Numerical radius inequalities for Hilbert $C^*$-modules |
| title_full | Numerical radius inequalities for Hilbert $C^*$-modules |
| title_fullStr | Numerical radius inequalities for Hilbert $C^*$-modules |
| title_full_unstemmed | Numerical radius inequalities for Hilbert $C^*$-modules |
| title_short | Numerical radius inequalities for Hilbert $C^*$-modules |
| title_sort | numerical radius inequalities for hilbert c modules |
| topic | numerical radius inner product space $c^*$-algebra |
| url | http://mb.math.cas.cz/full/147/4/mb147_4_8.pdf |
| work_keys_str_mv | AT sadaffakrimoghaddam numericalradiusinequalitiesforhilbertcmodules AT alirezakamelmirmostafaee numericalradiusinequalitiesforhilbertcmodules |