9 citations · 11 across the 5 of their papers we have counts for
4 papers · 1 filter
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…