Class of operators related to a ( m , C ) $(m,C)$ -isometric tuple of commuting operators
Abstract This paper is concerned with studying a new class of multivariable commuting operators know as left ( m , C ) $(m,C)$ -invertible p-tuples and related to a given conjugation transformation C on a Hilbert space Y $\mathcal{Y}$ . Some structural properties of some members of this class are gi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-08-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-022-02835-8 |
| _version_ | 1828154164028375040 |
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| author | Abeer A. Al Dohiman Sid Ahmed Ould Ahmed Mahmoud |
| author_facet | Abeer A. Al Dohiman Sid Ahmed Ould Ahmed Mahmoud |
| author_sort | Abeer A. Al Dohiman |
| collection | DOAJ |
| description | Abstract This paper is concerned with studying a new class of multivariable commuting operators know as left ( m , C ) $(m,C)$ -invertible p-tuples and related to a given conjugation transformation C on a Hilbert space Y $\mathcal{Y}$ . Some structural properties of some members of this class are given. |
| first_indexed | 2024-04-11T22:36:15Z |
| format | Article |
| id | doaj.art-e0bf87bcf2404fbd8f53c764a6817318 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-11T22:36:15Z |
| publishDate | 2022-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-e0bf87bcf2404fbd8f53c764a68173182022-12-22T03:59:13ZengSpringerOpenJournal of Inequalities and Applications1029-242X2022-08-012022112110.1186/s13660-022-02835-8Class of operators related to a ( m , C ) $(m,C)$ -isometric tuple of commuting operatorsAbeer A. Al Dohiman0Sid Ahmed Ould Ahmed Mahmoud1Department of Mathematics, College of Science, Jouf UniversityDepartment of Mathematics, College of Science, Jouf UniversityAbstract This paper is concerned with studying a new class of multivariable commuting operators know as left ( m , C ) $(m,C)$ -invertible p-tuples and related to a given conjugation transformation C on a Hilbert space Y $\mathcal{Y}$ . Some structural properties of some members of this class are given.https://doi.org/10.1186/s13660-022-02835-8m-isometryLeft m-invertible operatorRight m-invertible operatorLeft ( m , C ) $(m,C)$ -invertible operatorTensor product |
| spellingShingle | Abeer A. Al Dohiman Sid Ahmed Ould Ahmed Mahmoud Class of operators related to a ( m , C ) $(m,C)$ -isometric tuple of commuting operators Journal of Inequalities and Applications m-isometry Left m-invertible operator Right m-invertible operator Left ( m , C ) $(m,C)$ -invertible operator Tensor product |
| title | Class of operators related to a ( m , C ) $(m,C)$ -isometric tuple of commuting operators |
| title_full | Class of operators related to a ( m , C ) $(m,C)$ -isometric tuple of commuting operators |
| title_fullStr | Class of operators related to a ( m , C ) $(m,C)$ -isometric tuple of commuting operators |
| title_full_unstemmed | Class of operators related to a ( m , C ) $(m,C)$ -isometric tuple of commuting operators |
| title_short | Class of operators related to a ( m , C ) $(m,C)$ -isometric tuple of commuting operators |
| title_sort | class of operators related to a m c m c isometric tuple of commuting operators |
| topic | m-isometry Left m-invertible operator Right m-invertible operator Left ( m , C ) $(m,C)$ -invertible operator Tensor product |
| url | https://doi.org/10.1186/s13660-022-02835-8 |
| work_keys_str_mv | AT abeeraaldohiman classofoperatorsrelatedtoamcmcisometrictupleofcommutingoperators AT sidahmedouldahmedmahmoud classofoperatorsrelatedtoamcmcisometrictupleofcommutingoperators |