Weak l-sequential supercyclicity and weak quasistability
Functional Analysis
2024-12-11 v2
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.
Keywords
Cite
@article{arxiv.2306.08197,
title = {Weak l-sequential supercyclicity and weak quasistability},
author = {C. S. Kubrusly and B. P. Duggal},
journal= {arXiv preprint arXiv:2306.08197},
year = {2024}
}