[HTML][HTML] On subspace-diskcyclicity

N Bamerni, A Kılıçman - Arab Journal of Mathematical Sciences, 2017 - Elsevier
In this paper, we define and study subspace-diskcyclic operators. We show that subspace-
diskcyclicity does not imply diskcyclicity. We establish a subspace-diskcyclic criterion and …

[PDF][PDF] Subspace diskcyclic tuples of operators on Banach spaces

N Bamerni - Italian Journal of Pure and Applied Mathematics - ijpam.uniud.it
In this paper, we study subspace diskcyclic and subspace-disk transitive tuples of operators.
We give some characterizations of these tuples. Also, we give a set of sufficient conditions …

k-diskcyclic operators on Banach spaces

N Bamerni, A Kılıçman - AIP Conference Proceedings, 2016 - pubs.aip.org
In this paper, we define and study new classes of operators on complex Banach spaces,
which we call k-diskcyclic. We use these operators to show that the direct sum of a diskcyclic …