| Title:
|
Non supercyclic subsets of linear isometries on Banach spaces of analytic functions (English) |
| Author:
|
Moradi, Abbas |
| Author:
|
Hedayatian, Karim |
| Author:
|
Khani Robati, Bahram |
| Author:
|
Ansari, Mohammad |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
65 |
| Issue:
|
2 |
| Year:
|
2015 |
| Pages:
|
389-397 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $X$ be a Banach space of analytic functions on the open unit disk and $\Gamma $ a subset of linear isometries on $X$. Sufficient conditions are given for non-supercyclicity of $\Gamma $. In particular, we show that the semigroup of linear isometries on the spaces $S^p$ ($p>1$), the little Bloch space, and the group of surjective linear isometries on the big Bloch space are not supercyclic. Also, we observe that the groups of all surjective linear isometries on the Hardy space $H^p$ or the Bergman space $L^{p}_{a}$ ($1<p<\infty $, $p\neq 2$) are not supercyclic. (English) |
| Keyword:
|
supercyclicity |
| Keyword:
|
hypercyclic operator |
| Keyword:
|
semigroup |
| Keyword:
|
isometry |
| MSC:
|
47A16 |
| MSC:
|
47B33 |
| MSC:
|
47B38 |
| idZBL:
|
Zbl 06486955 |
| idMR:
|
MR3360435 |
| DOI:
|
10.1007/s10587-015-0184-3 |
| . |
| Date available:
|
2015-06-16T17:48:17Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144278 |
| . |
| Reference:
|
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