Results 31 to 40 of about 184 (111)
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.
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On Some Subspace Codiskcyclic Operators in Banach Spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.This paper introduces the concepts of subspace codiskcyclicity and subspace codisk transitivity, providing criteria and examples that highlight their distinct properties compared to traditional codiskcyclic operators and hypercyclic operators. The paper also demonstrates the existence of subspace codiskcyclic operators in finite‐dimensional Banach ...
Peter Masong Slaa +3 more
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Supercyclicity and the Angle Criterion
, 2009 Frederic Bayart, Etienne Matheron
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Dynamics, Operator Theory, and Infinite Holomorphy
, 2014 Abstract and Applied Analysis, Volume 2014, Issue 1, 2014.
Alfred Peris +3 more
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The role of the angle in supercyclic behavior
Journal of Functional Analysis, 2003 A (bounded) operator \(T\) on a complex infinite dimensional separable Hilbert space \(H\) is said to be supercyclic if there is a (supercyclic) vector \(x \in X\) such that its projective orbit \(\{\lambda T^n(x) : n \in \mathbb{N}\), \(\lambda \in \mathbb{C} \}\) is dense in \(H\). One of the ideas of \textit{A. Montes-Rodríguez} and \textit{H.
Gallardo-Gutiérrez, Eva A. +1 more
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Cyclicity of composition operators on the Fock space
, 2022 In this paper we provide a full characterization of cyclic composition operators defined on the d-dimensional Fock space $\mathcal F(\mathbb C^d)$ in terms of their symbol. Also, we study the supercyclicity and convex-cyclicity of this type of operators.
Bayart, Frédéric +1 more
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TUPLES OF OPERATORS AND SUPERCYCLICITY [PDF]
International Journal of Pure and Apllied Mathematics, 2013 In this paper, we give sufficient conditions for a tuple of operators to be supercyclic.
B Yousefi, Gh.R. Moghimi
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LIMITS OF HYPERCYCLIC AND SUPERCYCLIC OPERATOR MATRICES [PDF]
Journal of the Australian Mathematical Society, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Supercyclicity in the operator algebra [PDF]
Studia Mathematica, 2002 This paper presents extensions of results due to [\textit{K. C. Chan}, J. Oper. Theory 42, No.~2, 231-244 (1999; Zbl 0997.47058) and \textit{K. C. Chan} and \textit{R. D. Taylor jun.}, Integral equation Oper. Theory 41, No. 4, 381-399 (2001; Zbl 0995.46014)], concerning hypercyclicity of operators defined on the algebra of all the operators on a ...
Montes-Rodríguez, Alfonso +1 more
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Cyclic behaviour of Volterra composition operators
, 2011 We determine the cyclic behaviour of Volterra composition operators, which are defined as $(V_\phif)(x) =\int_0^{\phi(x)}f(t) dt$, $f ? L^p[0, 1]$, 1\leq p <\infty$,where $?$ is a measurable self-map of [0, 1].
Stanislav Shkarin +5 more
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