Results 1 to 10 of about 33 (33)
Hypercyclicity of adjoint of convex weighted shift and multiplication operators on Hilbert spaces [PDF]
Mathematics and Computational Sciences, 2021 A bounded linear operator $T$ on a Hilbert space $\mathfrak{H}$ is convex, if $$\|\mathfrak{T}^{2}v\|^2-2\|\mathfrak{T}v\|^2+\|v\|^2 \geq 0.$$ In this paper, sufficient conditions to hypercyclicity of adjoint of unilateral (bilateral) forward (backward ...
Lotfollah Karimi
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Topological transitivity of the normalized maps induced by linear operators
Applied General Topology, 2022 In this article, we provide a simple geometric proof of the following fact: The existence of transitive normalized maps induced by linear operators is possible only when the underlying space's real dimension is either 1 or 2 or infinity. A similar result
Pabitra Narayan Mandal
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Disjoint hypercyclicity equals disjoint supercyclicity for families of Taylor-type operators
Open Mathematics, 2018 We characterize disjointness of supercyclic operators which map a holomorphic function to a partial sum of the Taylor expansion. In particular, we show that disjoint hypercyclicity equals disjoint supercyclicity for families of Taylor-type operators ...
Ma Yingbin, Wang Cui
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Boundedly Spaced Subsequences and Weak Dynamics
Journal of Function Spaces, 2018 Weak supercyclicity is related to weak stability, which leads to the question that asks whether every weakly supercyclic power bounded operator is weakly stable.
C. S. Kubrusly, P. C. M. Vieira
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Weighted Composition Operators and Supercyclicity Criterion
International Journal of Mathematics and Mathematical Sciences, 2011 We consider an equivalent condition to the property of Supercyclicity Criterion, and then we investigate this property for the adjoint of weighted composition operators acting on Hilbert spaces of analytic functions.
Bahmann Yousefi, Javad Izadi
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Non-Weakly Supercyclic Weighted Composition Operators
Abstract and Applied Analysis, 2010 We give sufficient conditions under which a weighted composition operator on a Hilbert space of analytic functions is not weakly supercyclic. Also, we give some necessary and sufficient conditions for hypercyclicity and supercyclicity of weighted ...
Z. Kamali +2 more
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Supercyclicity and Hypercyclicity of an Isometry Plus a Nilpotent
Abstract and Applied Analysis, 2011 Suppose that X is a separable normed space and the operators A and Q are bounded on X. In this paper, it is shown that if AQ=QA, A is an isometry, and Q is a nilpotent then the operator A+Q is neither supercyclic nor weakly hypercyclic. Moreover, if the
S. Yarmahmoodi +2 more
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Supercyclic Weighted Translations on Quotient Spaces
AxiomsIn this note, we give the sufficient and necessary condition for weighted translations on the Orlicz spaces of quotient spaces to be supercyclic. By applying this characterization of supercyclicity, the descriptions of hypercyclicity, topological mixing ...
AliReza Bagheri Salec +3 more
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D-Cyclic Operators: A Unified Framework for Cyclicity in Linear Dynamics
MathematicsWe introduce the notion of D-cyclicity for bounded linear operators on a separable infinite-dimensional complex Banach space, which unifies several classical cyclicity concepts through appropriate choices of D⊂C.
B. Sanooj, P. B. Vinod Kumar
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Tuples with Property of Cyclicity Criterions
Journal of Mathematical Extension, 2012 In this paper we give conditions under which a tuple of operators satisfying the hypercyclicity, supercyclicity and cyclicity criterions.
M. J. Ataei∗, B. Yousefi
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