Universal families and hypercyclic operators

KG Grosse-Erdmann - Bulletin of the American Mathematical Society, 1999 - ams.org
Analysis is the study of limiting processes. Not every limiting process, of course, converges,
but examples have been found where processes diverge in a maximal way. Such an …

Hypercyclic operators on Hilbert C*-modules

S Ivkovic - arXiv preprint arXiv:2301.12265, 2023 - arxiv.org
In this paper, we characterize hypercyclic generalized bilateral weighted shift operators on
the standard Hilbert module over the C*-algebra of compact operators on the separable …

Disjoint linear dynamical properties of elementary operators

S Ivković, SM Tabatabaie - Bulletin of the Iranian Mathematical Society, 2023 - Springer
Disjoint Linear Dynamical Properties of Elementary Operators | Bulletin of the Iranian
Mathematical Society Skip to main content SpringerLink Account Menu Find a journal Publish …

On the supercyclicity and hypercyclicity of the operator algebra

B Yousefi, H Rezaei - Acta Mathematica Sinica, English Series, 2008 - Springer
Let B (X) be the operator algebra for a separable infinite dimensional Hilbert space H,
endowed with the strong operator topology or*-strong topology. We give sufficient conditions …

On the hereditarily hypercyclic operators

B Yousefi, A Farrokhinia - Journal of the Korean Mathematical …, 2006 - koreascience.kr
Let X be a separable Banach space. We give sufficient conditions under which $ T: X
{\rightarrow} X $ is hereditarily hypercyclic. Also, we prove that hereditarily hypercyclicity …

Disjointness in supercyclicity on the algebra of Hilbert-Schmidt operators

L Zhang, ZH Zhou - Indian Journal of Pure and Applied Mathematics, 2015 - Springer
In this paper we show that the property of disjoint supercyclic operators T 1,⋯, TN satisfying
d-supercyclicity criterion on the same Hilbert space is equivalent to disjointness in …

Supercyclicity in the operator algebra using Hilbert-Schmidt operators

B Yousefi, H Rezaei, J Doroodgar - Rendiconti del Circolo Matematico di …, 2007 - Springer
Supercyclicity in the operator algebra using Hilbert-Schmidt operators Page 1
SUPERCYCLICITY IN THE OPERATOR ALGEBRA ... 33 RENDICONTI DEL CIRCOLO …

[PDF][PDF] Hypercyclicity of special operators on Hilbert function spaces

B Yousefi, S Haghkhah - Czechoslovak Mathematical Journal, 2007 - dml.cz
Czechoslovak Mathematical Journal Page 1 Czechoslovak Mathematical Journal Bahmann
Yousefi; S. Haghkhah Hypercyclicity of special operators on Hilbert function spaces …

[PDF][PDF] Syndetically hypercyclic pairs

B Yousefi, M Habibi - Int. Math. Forum, 2010 - researchgate.net
Syndetically Hypercyclic Pairs 1 INTRODUCTION Page 1 International Mathematical Forum, 5,
2010, no. 66, 3267 - 3272 Syndetically Hypercyclic Pairs B. Yousefi Department of mathematics …

Weak multi-sensitive compactness and mean sensitivity for linear operators

Q Yao, P Zhu - Journal of Difference Equations and Applications, 2024 - Taylor & Francis
Let (X, T) be a linear dynamical system defined on a Banach space X and LT: KX∗→ KX∗
be defined by LTS= TS, where KX∗= span {〈⋅, y∗〉 x: y∗∈ X∗, x∈ X}¯. This paper first …