Results 1 to 10 of about 102 (87)
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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An Extension of Hypercyclicity for N-Linear Operators
Abstract and Applied Analysis, 2014 Grosse-Erdmann and Kim recently introduced the notion of bihypercyclicity for studying the existence of dense orbits under bilinear operators. We propose an alternative notion of orbit for N-linear operators that is inspired by difference equations ...
Juan Bรจs, J. Alberto Conejero
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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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International Journal of Mathematics and Mathematical Sciences, 2012 We prove some further properties of the operator ๐โ[๐QN] (๐-power quasinormal, defined in Sid Ahmed, 2011). In particular we show that the operator ๐โ[๐QN] satisfying the translation invariant property is normal and that the operator ๐โ[๐QN] is not ...
Sid Ahmed Ould Ahmed Mahmoud
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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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On supercyclicity of operators from a supercyclic semigroup
Journal of Mathematical Analysis and Applications, 2011 We show that for every supercyclic strongly continuous operator semigroup ${T_t}_{t\geq 0}$ acting on a complex $\F$-space, every $T_t$ with $t>0$ is supercyclic. Moreover, the set of supercyclic vectors of each $T_t$ with $t>0$ is exactly the set of supercyclic vectors of the entire semigroup.
Stanislav Shkarin
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Weighted Composition Operators and Supercyclicity Criterion [PDF]
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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Supercyclic Weighted Composition Operators on the Space of Smooth Functions
MathematicsA weighted composition operator on the space of scalar-valued smooth functions on an open subset of a d-dimensional Euclidean space is supercyclic if and only if it is weakly mixing, and it is strongly supercyclic if and only if it is mixing.
Juan Bes
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Journal of Mathematical Analysis and Applications, 2004 An operator \(T\) on a Banach space \({\mathcal B}\) is said to be supercyclic if there is \(x\in{\mathcal B}\) such that \(\{\lambda T^n x: \lambda \in \mathbb C \text{ and } n=0,1,\ldots \}\) is dense in \(\mathcal B\). If norm density is replaced by density with respect to the weak topology, then one obtains the concept of weakly supercyclic ...
Rebecca Sanders
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On Weak Supercyclicity I [PDF]
Mathematical Proceedings of the Royal Irish Academy, 2018 This paper provides conditions (i) to distinguish weak supercyclicity form supercyclicity for operators acting on normed and Banach spaces, and also (ii) to ensure when weak supercyclicity implies weak stability.
Kubrusly, Carlos S., Duggal, Bhagwati P.
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