Characterizations of Double Commutant Property on BH
Let H be a complex Hilbert space. Denote by BH the algebra of all bounded linear operators on H. In this paper, we investigate the non-self-adjoint subalgebras of BH of the form T+B, where B is a block-closed bimodule over a masa and T is a subalgebra of the masa. We establish a sufficient and neces...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6654100 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849411037359505408 |
|---|---|
| author | Chaoqun Chen Fangyan Lu Cuimei Cui Ling Wang |
| author_facet | Chaoqun Chen Fangyan Lu Cuimei Cui Ling Wang |
| author_sort | Chaoqun Chen |
| collection | DOAJ |
| description | Let H be a complex Hilbert space. Denote by BH the algebra of all bounded linear operators on H. In this paper, we investigate the non-self-adjoint subalgebras of BH of the form T+B, where B is a block-closed bimodule over a masa and T is a subalgebra of the masa. We establish a sufficient and necessary condition such that the subalgebras of the form T+B has the double commutant property in some particular cases. |
| format | Article |
| id | doaj-art-5fffa645bee648908bcb48b4eb82ab9c |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-5fffa645bee648908bcb48b4eb82ab9c2025-08-20T03:34:53ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/66541006654100Characterizations of Double Commutant Property on BHChaoqun Chen0Fangyan Lu1Cuimei Cui2Ling Wang3Department of Mathematics, Changzhou Institute of Technology, Changzhou 213032, ChinaDepartment of Mathematics, Soochow University, Suzhou 215006, ChinaDepartment of Electrical and Information Engineering, Changzhou Institute of Technology, Changzhou 213032, ChinaDepartment of Mathematics, Changzhou Institute of Technology, Changzhou 213032, ChinaLet H be a complex Hilbert space. Denote by BH the algebra of all bounded linear operators on H. In this paper, we investigate the non-self-adjoint subalgebras of BH of the form T+B, where B is a block-closed bimodule over a masa and T is a subalgebra of the masa. We establish a sufficient and necessary condition such that the subalgebras of the form T+B has the double commutant property in some particular cases.http://dx.doi.org/10.1155/2021/6654100 |
| spellingShingle | Chaoqun Chen Fangyan Lu Cuimei Cui Ling Wang Characterizations of Double Commutant Property on BH Journal of Function Spaces |
| title | Characterizations of Double Commutant Property on BH |
| title_full | Characterizations of Double Commutant Property on BH |
| title_fullStr | Characterizations of Double Commutant Property on BH |
| title_full_unstemmed | Characterizations of Double Commutant Property on BH |
| title_short | Characterizations of Double Commutant Property on BH |
| title_sort | characterizations of double commutant property on bh |
| url | http://dx.doi.org/10.1155/2021/6654100 |
| work_keys_str_mv | AT chaoqunchen characterizationsofdoublecommutantpropertyonbh AT fangyanlu characterizationsofdoublecommutantpropertyonbh AT cuimeicui characterizationsofdoublecommutantpropertyonbh AT lingwang characterizationsofdoublecommutantpropertyonbh |