| Title:
|
On weak supercyclicity II (English) |
| Author:
|
Kubrusly, Carlos S. |
| Author:
|
Duggal, Bhagwati P. |
| Language:
|
English |
| Journal:
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Czechoslovak Mathematical Journal |
| ISSN:
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0011-4642 (print) |
| ISSN:
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1572-9141 (online) |
| Volume:
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68 |
| Issue:
|
2 |
| Year:
|
2018 |
| Pages:
|
371-386 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper considers weak supercyclicity for bounded linear operators on a normed space. On the one hand, weak supercyclicity is investigated for classes of Hilbert-space operators: (i) self-adjoint operators are not weakly supercyclic, (ii) diagonalizable operators are not weakly $l$-sequentially supercyclic, and (iii) weak $l$-sequential supercyclicity is preserved between a unitary operator and its adjoint. On the other hand, weak supercyclicity is investigated for classes of normed-space operators: (iv) the point spectrum of the normed-space adjoint of a power bounded supercyclic operator is either empty or is a singleton in the open unit disk, (v) weak $l$-sequential supercyclicity coincides with supercyclicity for compact operators, and (vi) every compact weakly $l$-sequentially supercyclic operator is quasinilpotent. (English) |
| Keyword:
|
supercyclic operator |
| Keyword:
|
weakly supercyclic operator |
| Keyword:
|
weakly $l$-sequentially supercyclic operator |
| MSC:
|
47A16 |
| MSC:
|
47B15 |
| idZBL:
|
Zbl 06890378 |
| idMR:
|
MR3819179 |
| DOI:
|
10.21136/CMJ.2018.0457-16 |
| . |
| Date available:
|
2018-06-11T10:52:28Z |
| Last updated:
|
2020-07-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147224 |
| . |
| Reference:
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