Exact sequences for dual Toeplitz algebras on hypertori
Abstract In this paper, we construct a symbol calculus yielding short exact sequences for the dual Toeplitz algebra generated by all bounded dual Toeplitz operators on the Hardy space associated with the polydisk $${\mathbb {D}}^n$$ D n in the unitary space $${\mathbb {C}}^n$$ C n , that have been i...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-11-01
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| Series: | Arabian Journal of Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/s40065-022-00408-7 |
| _version_ | 1797865531302215680 |
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| author | Lakhdar Benaissa Hocine Guediri |
| author_facet | Lakhdar Benaissa Hocine Guediri |
| author_sort | Lakhdar Benaissa |
| collection | DOAJ |
| description | Abstract In this paper, we construct a symbol calculus yielding short exact sequences for the dual Toeplitz algebra generated by all bounded dual Toeplitz operators on the Hardy space associated with the polydisk $${\mathbb {D}}^n$$ D n in the unitary space $${\mathbb {C}}^n$$ C n , that have been introduced and well studied in our earlier paper (Benaissa and Guediri in Taiwan J Math 19: 31–49, 2015), as well as for the C*-subalgebra generated by dual Toeplitz operators with symbols continuous on the associated hypertorus $${\mathbb {T}}^n$$ T n . |
| first_indexed | 2024-04-09T23:09:36Z |
| format | Article |
| id | doaj.art-4b0ad87e865e4a79b331925358f6ff0e |
| institution | Directory Open Access Journal |
| issn | 2193-5343 2193-5351 |
| language | English |
| last_indexed | 2024-04-09T23:09:36Z |
| publishDate | 2022-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Arabian Journal of Mathematics |
| spelling | doaj.art-4b0ad87e865e4a79b331925358f6ff0e2023-03-22T10:27:10ZengSpringerOpenArabian Journal of Mathematics2193-53432193-53512022-11-01121718110.1007/s40065-022-00408-7Exact sequences for dual Toeplitz algebras on hypertoriLakhdar Benaissa0Hocine Guediri1Department of Mathematics, Faculty of Science, University of Algiers-Benyoucef BenkheddaDepartment of Mathematics, College of Science, King Saud UniversityAbstract In this paper, we construct a symbol calculus yielding short exact sequences for the dual Toeplitz algebra generated by all bounded dual Toeplitz operators on the Hardy space associated with the polydisk $${\mathbb {D}}^n$$ D n in the unitary space $${\mathbb {C}}^n$$ C n , that have been introduced and well studied in our earlier paper (Benaissa and Guediri in Taiwan J Math 19: 31–49, 2015), as well as for the C*-subalgebra generated by dual Toeplitz operators with symbols continuous on the associated hypertorus $${\mathbb {T}}^n$$ T n .https://doi.org/10.1007/s40065-022-00408-747B3547L80 |
| spellingShingle | Lakhdar Benaissa Hocine Guediri Exact sequences for dual Toeplitz algebras on hypertori Arabian Journal of Mathematics 47B35 47L80 |
| title | Exact sequences for dual Toeplitz algebras on hypertori |
| title_full | Exact sequences for dual Toeplitz algebras on hypertori |
| title_fullStr | Exact sequences for dual Toeplitz algebras on hypertori |
| title_full_unstemmed | Exact sequences for dual Toeplitz algebras on hypertori |
| title_short | Exact sequences for dual Toeplitz algebras on hypertori |
| title_sort | exact sequences for dual toeplitz algebras on hypertori |
| topic | 47B35 47L80 |
| url | https://doi.org/10.1007/s40065-022-00408-7 |
| work_keys_str_mv | AT lakhdarbenaissa exactsequencesfordualtoeplitzalgebrasonhypertori AT hocineguediri exactsequencesfordualtoeplitzalgebrasonhypertori |