Weak l-sequential supercyclicity and weak quasistability
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866929620797882368 |
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| author | Kubrusly, C. S. Duggal, B. P. |
| author_facet | Kubrusly, C. S. Duggal, B. P. |
| contents | It is known that supercyclicity implies strong stability. It is not known whether weak l-sequential supercyclicity implies weak stability. In this paper we prove that weak l-sequential supercyclicity implies weak quasistability. Corollaries concerning the characterisation of (i) weakly l-sequentially supercyclic vectors that are not (strongly) supercyclic, and (ii) weakly l-sequentially supercyclic isometries, are also proved. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2306_08197 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Weak l-sequential supercyclicity and weak quasistability Kubrusly, C. S. Duggal, B. P. Functional Analysis Primary 47A16, Secondary 47A45 It is known that supercyclicity implies strong stability. It is not known whether weak l-sequential supercyclicity implies weak stability. In this paper we prove that weak l-sequential supercyclicity implies weak quasistability. Corollaries concerning the characterisation of (i) weakly l-sequentially supercyclic vectors that are not (strongly) supercyclic, and (ii) weakly l-sequentially supercyclic isometries, are also proved. |
| title | Weak l-sequential supercyclicity and weak quasistability |
| topic | Functional Analysis Primary 47A16, Secondary 47A45 |
| url | https://arxiv.org/abs/2306.08197 |