Hypercyclictty and Countable Hypercyclicity for Adjoint of Operators
Let be an infinite dimensional separable complex Hilbert space and let , where is the Banach algebra of all bounded linear operators on . In this paper we prove the following results. If is a operator, then 1. is a hypercyclic operator if and only if D and for every hyperinvariant...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Baghdad, College of Science for Women
2010-03-01
|
| Series: | مجلة بغداد للعلوم |
| Subjects: | |
| Online Access: | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2887 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849413795280060416 |
|---|---|
| author | Baghdad Science Journal |
| author_facet | Baghdad Science Journal |
| author_sort | Baghdad Science Journal |
| collection | DOAJ |
| description | Let be an infinite dimensional separable complex Hilbert space and let , where is the Banach algebra of all bounded linear operators on . In this paper we prove the following results.
If is a operator, then
1. is a hypercyclic operator if and only if D and for every hyperinvariant subspace of .
2. If is a pure, then is a countably hypercyclic operator if and only if and for every hyperinvariant subspace of .
3. has a bounded set with dense orbit if and only if for every hyperinvariant subspace of , . |
| format | Article |
| id | doaj-art-7133ceffdd7f4600bd6d87a00044dbd8 |
| institution | Kabale University |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2010-03-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-7133ceffdd7f4600bd6d87a00044dbd82025-08-20T03:34:01ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862010-03-017110.21123/bsj.7.1.191-199Hypercyclictty and Countable Hypercyclicity for Adjoint of OperatorsBaghdad Science JournalLet be an infinite dimensional separable complex Hilbert space and let , where is the Banach algebra of all bounded linear operators on . In this paper we prove the following results. If is a operator, then 1. is a hypercyclic operator if and only if D and for every hyperinvariant subspace of . 2. If is a pure, then is a countably hypercyclic operator if and only if and for every hyperinvariant subspace of . 3. has a bounded set with dense orbit if and only if for every hyperinvariant subspace of , .http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2887" operator, hypercyclic, countably hypercyclic, single valued extension property (SVEP), Bishop's property , decomposition property ." |
| spellingShingle | Baghdad Science Journal Hypercyclictty and Countable Hypercyclicity for Adjoint of Operators مجلة بغداد للعلوم " operator, hypercyclic, countably hypercyclic, single valued extension property (SVEP), Bishop's property , decomposition property ." |
| title | Hypercyclictty and Countable Hypercyclicity for Adjoint of Operators |
| title_full | Hypercyclictty and Countable Hypercyclicity for Adjoint of Operators |
| title_fullStr | Hypercyclictty and Countable Hypercyclicity for Adjoint of Operators |
| title_full_unstemmed | Hypercyclictty and Countable Hypercyclicity for Adjoint of Operators |
| title_short | Hypercyclictty and Countable Hypercyclicity for Adjoint of Operators |
| title_sort | hypercyclictty and countable hypercyclicity for adjoint of operators |
| topic | " operator, hypercyclic, countably hypercyclic, single valued extension property (SVEP), Bishop's property , decomposition property ." |
| url | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2887 |
| work_keys_str_mv | AT baghdadsciencejournal hypercyclicttyandcountablehypercyclicityforadjointofoperators |