Results 51 to 60 of about 216 (102)
Compositional hypercyclicity equals supercyclicity [PDF]
, 2007 In this note it is proved that the sequence of composition operators generated by automorphisms of a simply connected domain strictly contained in the complex plane is hypercyclic –that is, possesses some dense orbit– if and only if it is supercyclic ...
Bonilla Ramírez, Antonio Lorenzo +2 more
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LIMITS OF WEAKLY HYPERCYCLIC AND SUPERCYCLIC OPERATORS [PDF]
Glasgow Mathematical Journal, 2005 A bounded operator \(T\) an a complex separable Hilbert space \(H\) is said to be hypercyclic (written \(T\in HC(H)\)) if there exists \(x\in H\) such that \(\mathcal{O}rb(T,x)=\{T^{n}x ; n\geq 0\}\) is dense in \(H\). It is said to be weakly hypercyclic (\(T\in WHC(H)\)) if there exists \(x\in H\) such that \(\mathcal{O}rb(T,x)\) is weakly dense in ...
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Weak Stability and Quasistability [PDF]
It is known that weak l-sequential supercyclicity implies weak quasistability, and it is still unknown weather weak l-sequential supercyclicity implies weak stability, much less whether weak supercyclicity implies weak stability (although it is known for
Vieira, P. C. M., Kubrusly, C. S.
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INVARIANT SUBSPACE FOR LINEAR OPERATORS IN SEMI HILBERTIAN SPACE [PDF]
, 2020 Intervention AbstractIn this paper, we obtain some results on A-hyponormal operators. We show that the results for the supercyclicity of hy- ponormal operators described in [8] remain true for A-hyponormal operators. Also, we show that every A-hyponormal
ADEL SADDI, NADER JERIDI
core
Super-Shadowing and Supercyclicity
Mediterranean Journal of MathematicsWe introduce the super-shadowing property in linear dynamics, where pseudotrajectories are approximated by sequences of the form $(λ_nT^nx)$, with $(λ_n)_n$ being complex scalars. For compact operators on Banach spaces, we characterize the operators that possess the positive super-shadowing property and the positive limit super-shadowing property ...
Cabezas, Eric, Saavedra, Manuel
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Disjoint supercyclic pseudo-shifts
We give a characterization for disjoint supercyclicity of a finite number of unilateral pseudo-shift operators on [[EQUATION]]. We also characterize unilateral pseudo-shifts that satisfy the Disjoint Supercyclicity Criterion.
NURHAN ÇOLAKOĞLU
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The positive supercyclicity theorem
, 2004 V Curso Espacios de Banach y Operadores. Laredo, Agosto de 2003We present some recent results related with supercyclic operators, also some of its consequences.Presentamos algunos resultados recientes relacionados con los operadores supercíclicos, así ...
León Saavedra, Fernando
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SUPERCYCLICITY OF TWO-ISOMETRIES
Honam Mathematical Journal, 2008 M. Faghih Ahmadi, K. Hedayatian
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Weak Supercyclicity—An Expository Survey [PDF]
Results in MathematicsThis is an exposition on supercyclicity and weak supercyclicity, especially designed to advance further developments in weakly supercyclicity, which is a recent research field showing significant momentum during the past two decades. For operators on a normed space, the present paper explores the relationship among supercyclicity and three versions of ...
Carlos Kubrusly
exaly +6 more sources