On subspaces diskcyclicity
Functional Analysis
2015-12-02 v4
Abstract
In this paper, we define and study subspace-diskcyclic operators. We show that subspace-diskcyclicity does not imply to diskcyclicity. We establish a subspace-diskcyclic criterion and use it to find a subspace-diskcyclic operator that is not subspace-hypercyclic for any subspaces. Also, we show that the inverse of invertible subspace-diskcyclic operators do not need to be subspace-diskcyclic for any subspaces. Finally, we prove that every finite-dimensional separable Hilbert space over the complex field supports a subspace-diskcyclic operator.
Cite
@article{arxiv.1402.4682,
title = {On subspaces diskcyclicity},
author = {Nareen Bamerni and Adem Kılıçman},
journal= {arXiv preprint arXiv:1402.4682},
year = {2015}
}