9 citations · 11 across the 5 of their papers we have counts for
7 papers
Li-Yorke chaos for composition operators on Orlicz spaces
Yousef Estaremi
In this paper we characterize Li-Yorke chaotic composition operators on Orlicz spaces. Indeed some necessary and suffcient conditions are provided for Li-Yorke chaotic composition…
k-bitransitive and compound operators on Banach spaces
Nareen Bamerni, Adem Kılıçman
In this this paper, we introduce new classes of operators in complex Banach spaces, which we call k-bitransitive operators and compound operators to study the direct sum of diskcyc…
Operators with Diskcyclic Vectors Subspaces
Nareen Bamerni, Adem Kılıçman
In this paper, we prove that if is diskcyclic operator then the closed unit disk multiplied by the union of the numerical range of all iterations of is dense in $\mathcal H…
Subspace-hypercyclic weighted shifts
Nareen Bamerni, Adem Kılıçman
Our aim in this paper is to obtain necessary and sufficient conditions for weighted shift operators on the Hilbert spaces and to be subs…
On the direct sum of two bounded linear operators and subspace-hypercyclicity
Nareen Bamerni, Adem Kılıçman
In this paper, we show that if the direct sum of two operators is subspace-hypercyclic (satisfies subspace hypercyclic criterion), then both operators are subspace-hypercyclic (sat…
A review of some works in the theory of diskcyclic operators
Nareen Bamerni, Adem Kılıçman, Mohd Salmi Md Noorani
In this paper, we give a brief review concerning diskcyclic operators and then we provide some further characterizations of diskcyclic operators on separable Hilbert spaces. In par…
On subspaces diskcyclicity
Nareen Bamerni, Adem Kılıçman
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…