Restriction of Toeplitz Operators on Their Reducing Subspaces
We study the restrictions of analytic Toeplitz operator on its minimal reducing subspaces for the unit disc and construct their models on slit domains. Furthermore, it is shown that Tzn is similar to the sum of n copies of the Bergman shift.
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/2190418 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850208408913838080 |
|---|---|
| author | Anjian Xu Yang Zou |
| author_facet | Anjian Xu Yang Zou |
| author_sort | Anjian Xu |
| collection | DOAJ |
| description | We study the restrictions of analytic Toeplitz operator on its minimal reducing subspaces for the unit disc and construct their models on slit domains. Furthermore, it is shown that Tzn is similar to the sum of n copies of the Bergman shift. |
| format | Article |
| id | doaj-art-95e0ff779a46425982fdc353e47ffffa |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-95e0ff779a46425982fdc353e47ffffa2025-08-20T02:10:16ZengWileyJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/21904182190418Restriction of Toeplitz Operators on Their Reducing SubspacesAnjian Xu0Yang Zou1College of Science, Chongqing University of Technology, Chongqing 400065, ChinaSchool of Mathematics and Information, Chongqing University of Education, Chongqing 400054, ChinaWe study the restrictions of analytic Toeplitz operator on its minimal reducing subspaces for the unit disc and construct their models on slit domains. Furthermore, it is shown that Tzn is similar to the sum of n copies of the Bergman shift.http://dx.doi.org/10.1155/2017/2190418 |
| spellingShingle | Anjian Xu Yang Zou Restriction of Toeplitz Operators on Their Reducing Subspaces Journal of Function Spaces |
| title | Restriction of Toeplitz Operators on Their Reducing Subspaces |
| title_full | Restriction of Toeplitz Operators on Their Reducing Subspaces |
| title_fullStr | Restriction of Toeplitz Operators on Their Reducing Subspaces |
| title_full_unstemmed | Restriction of Toeplitz Operators on Their Reducing Subspaces |
| title_short | Restriction of Toeplitz Operators on Their Reducing Subspaces |
| title_sort | restriction of toeplitz operators on their reducing subspaces |
| url | http://dx.doi.org/10.1155/2017/2190418 |
| work_keys_str_mv | AT anjianxu restrictionoftoeplitzoperatorsontheirreducingsubspaces AT yangzou restrictionoftoeplitzoperatorsontheirreducingsubspaces |