Results 11 to 20 of about 475 (70)
Hypercyclic operators failing the Hypercyclicity Criterion on classical Banach spaces
Journal of Functional Analysis, 2007 Let \(X\) be a topological vector space over \(\mathbb{R}\) or \(\mathbb{C}\). A (continuous, linear) operator \(T:X \to X\) is said to be hypercyclic if there exists some \(x \in X\) whose \(T\)-orbit \(\{T^n x: n\in{\mathbb{N}}\}\) is dense in \(X\). In [J.~Funct.~Anal.\ 99, 179--190 (1991; Zbl 0758.47016)], \textit{D.\,Herrero} posed the problem of ...
Bayart, Frédéric, Matheron, Etienne
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Journal of Applied MathematicsThis article extends Alfredo Peris’s work on chaos in set-valued dynamics by providing new characterizations and applications of transitivity and mixing properties.
Illych Alvarez
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Journal of Mathematical Analysis and Applications, 2014 Let \(T_1,\dots,T_N\) be bounded, linear operators on a separable infinite-dimensional Banach space \(X\). According to \textit{L. Bernal-González} [Stud. Math. 182, No. 2, 113--131 (2007; Zbl 1134.47006)], \textit{J. Bès} and \textit{A. Peris} [J. Math. Anal. Appl. 336, No.
Sanders, Rebecca, Shkarin, Stanislav
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A hypercyclicity criterion with applications
Journal of Mathematical Analysis and Applications, 2007 The following hypercyclicity criterion for continuous linear operators \(T: X \rightarrow X\) defined on a Hausdorff locally convex space \((X,\tau)\) is proved: Assume that \(X\) admits a finer topology \(\mu\) such that \((X,\mu)\) is a Fréchet space and \(T\) is \(\mu\)-continuous. Suppose that there is a countable \(\tau\)-dense subset \(Y\) of \(X\
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On a hypercylicity criterion for strongly continuous semigroups
Discrete & Continuous Dynamical Systems - A, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Non‐Diskcyclicity of Bounded Composition Operators on the Little Bloch Space and the Besov Space
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, we show that there are no diskcyclic composition operators on the little Bloch space ℬ0 and the Besov spaces Bp.
Hang Zhou +2 more
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On the Recurrent C0‐Semigroups, Their Existence, and Some Criteria
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this paper, recurrent C0‐semigroups are introduced and investigated. It is proved that, despite hypercyclic C0‐semigroups, recurrent C0‐semigroups can be found on finite‐dimensional Banach spaces. Some criteria are stated for recurrence, which is based on open sets, neighborhoods of zero, and special eigenvectors.
Mansooreh Moosapoor, Tuncer Acar
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Topological Transitivity of Shift Similar Operators on Nonseparable Hilbert Spaces
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this paper, we investigate topological transitivity of operators on nonseparable Hilbert spaces which are similar to backward weighted shifts. In particular, we show that abstract differential operators and dual operators to operators of multiplication in graded Hilbert spaces are similar to backward weighted shift operators.
Andriy Zagorodnyuk +2 more
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$q$-Frequent hypercyclicity in spaces of operators [PDF]
, 2016 We provide conditions for a linear map of the form $C_{R,T}(S)=RST$ to be $q$-frequently hypercyclic on algebras of operators on separable Banach spaces.
Gupta, Manjul, Mundayadan, Aneesh
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Simultaneous universality [PDF]
, 2017 In this paper, the notion of simultaneous universality is introduced, concerning operators having orbits that simultaneously approximate any given vector.
Bernal González, Luis, Jung, Andreas
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