Denseness of Sets of Supercyclic Vectors
Functional Analysis
2021-02-03 v3
Abstract
The sets of strongly supercyclic, weakly l-sequentially supercyclic, weakly sequentially supercyclic, and weakly supercyclic vectors for an arbitrary normed-space operator are all dense in the normed space, regardless the notion of denseness one is considering, provided they are nonempty.
Keywords
Cite
@article{arxiv.1804.02613,
title = {Denseness of Sets of Supercyclic Vectors},
author = {C. S. Kubrusly},
journal= {arXiv preprint arXiv:1804.02613},
year = {2021}
}