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arXiv · 2306.08197

Weak l-sequential supercyclicity and weak quasistability

C. S. Kubrusly·B. P. Duggal
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Abstract

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.

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C. S. Kubrusly, B. P. Duggal. 2023-06-14. Weak l-sequential supercyclicity and weak quasistability. https://arxiv.org/abs/2306.08197

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