Subspace-hypercyclic weighted shifts

N Bamerni, A Kılıçman - arXiv preprint arXiv:1501.02534, 2015 - arxiv.org
Our aim in this paper is to obtain necessary and sufficient conditions for weighted shift
operators on the Hilbert spaces $\ell^{2}(\mathbb Z) $ and $\ell^{2}(\mathbb N) $ to be …

[PDF][PDF] Hypercyclic pair whose components are direct sums of identical hypercyclic operators

N Wilberth, S Kumar, M Mpimbo - Jnanabha, 2019 - docs.vijnanaparishadofindia.org
Hypercyclic pair whose components are direct sums of identical hypercyclic operators Page 99
Jnanabha, Vol. 49 (1)(2019), 97-106 HYPERCYCLIC PAIR WHOSE COMPONENTS ARE …

[PDF][PDF] On Chaotic Operators.

AMA Jahel, AY As' ad - General Letters in Mathematics (GLM), 2022 - researchgate.net
In this paper, we present new results on chaotic operators on Banach spaces. Also we study
the relation between subspacechaoticity and the direct sum of two operators. In particular …

[PDF][PDF] On Subspace-ergodic Operators

M Moosapoor - Journal of Mathematical & Fundamental …, 2020 - pdfs.semanticscholar.org
In this paper, we define subspace-ergodic operators and give examples of these operators.
We show that by any given separable infinite dimensional Banach space, subspace-ergodic …

Subspace-chaotic operators and their direct sum

M Moosapoor, M Shahriari - Mathematics and Society, 2021 - math-sci.ui.ac.ir
In this article, we state some sufficient conditions for an operator to be subspace-chaotic.
The properties of the direct sum of operators are interesting topics in operator theory. In this …