Commutable Matrix-Valued Functions and Operator-Valued Functions
A simple expression is established for an analytic commutable matrix-valued function. Then a characterization of two by two functional commutative matrices is proven. Finally, a family of analytic normal compact operators on a Hilbert space, which commute with their derivatives, is shown to be...
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| Format: | Article |
| Language: | English |
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Emrah Evren KARA
2020-12-01
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| Series: | Communications in Advanced Mathematical Sciences |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/1173620 |
| _version_ | 1797294155096915968 |
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| author | Abdelaziz Maouche |
| author_facet | Abdelaziz Maouche |
| author_sort | Abdelaziz Maouche |
| collection | DOAJ |
| description | A simple expression is established for an analytic commutable matrix-valued function. Then a characterization of two by two functional commutative matrices is proven. Finally, a family of analytic normal compact operators on a Hilbert space, which commute with their derivatives, is shown to be functionally commutative. |
| first_indexed | 2024-03-07T21:26:09Z |
| format | Article |
| id | doaj.art-c178c32f995547738a27125f0f94c411 |
| institution | Directory Open Access Journal |
| issn | 2651-4001 |
| language | English |
| last_indexed | 2024-03-07T21:26:09Z |
| publishDate | 2020-12-01 |
| publisher | Emrah Evren KARA |
| record_format | Article |
| series | Communications in Advanced Mathematical Sciences |
| spelling | doaj.art-c178c32f995547738a27125f0f94c4112024-02-27T04:36:37ZengEmrah Evren KARACommunications in Advanced Mathematical Sciences2651-40012020-12-013422523510.33434/cams.7593361225Commutable Matrix-Valued Functions and Operator-Valued FunctionsAbdelaziz Maouche0Sultan Qaboos universityA simple expression is established for an analytic commutable matrix-valued function. Then a characterization of two by two functional commutative matrices is proven. Finally, a family of analytic normal compact operators on a Hilbert space, which commute with their derivatives, is shown to be functionally commutative.https://dergipark.org.tr/tr/download/article-file/1173620riesz projectionanalytic matrix-valued functioncommutable matriceseigenvalueholomorphic operator-valued functionresolventspectrum |
| spellingShingle | Abdelaziz Maouche Commutable Matrix-Valued Functions and Operator-Valued Functions Communications in Advanced Mathematical Sciences riesz projection analytic matrix-valued function commutable matrices eigenvalue holomorphic operator-valued function resolvent spectrum |
| title | Commutable Matrix-Valued Functions and Operator-Valued Functions |
| title_full | Commutable Matrix-Valued Functions and Operator-Valued Functions |
| title_fullStr | Commutable Matrix-Valued Functions and Operator-Valued Functions |
| title_full_unstemmed | Commutable Matrix-Valued Functions and Operator-Valued Functions |
| title_short | Commutable Matrix-Valued Functions and Operator-Valued Functions |
| title_sort | commutable matrix valued functions and operator valued functions |
| topic | riesz projection analytic matrix-valued function commutable matrices eigenvalue holomorphic operator-valued function resolvent spectrum |
| url | https://dergipark.org.tr/tr/download/article-file/1173620 |
| work_keys_str_mv | AT abdelazizmaouche commutablematrixvaluedfunctionsandoperatorvaluedfunctions |