Results 11 to 20 of about 142 (132)
The Strong Disjoint Blow-Up/Collapse Property
Journal of Function Spaces and Applications, 2013 Let be a topological vector space, and let be the algebra of continuous linear operators on . The operators are disjoint hypercyclic if there is such that the orbit is dense in .
Héctor N. Salas
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On Some Subspace Codiskcyclic Operators in Banach Spaces
International Journal of Mathematics and Mathematical SciencesThis 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.
Peter Masong Slaa +2 more
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Hypercyclic Behavior of Translation Operators on Spaces of Analytic Functions on Hilbert Spaces
Journal of Function Spaces, 2015 We consider special Hilbert spaces of analytic functions of many infinite variables and examine composition operators on these spaces.
Zoryana Mozhyrovska +1 more
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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 Bès, J. Alberto Conejero
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Growth of hypercyclic entire functions for some non-convolution operators
Concrete Operators, 2023 A continuous linear operator TT defined on a Fréchet space XX is said to be hypercyclic if there exists f∈Xf\in X such that, the orbit {Tnf}\left\{{T}^{n}f\right\} is dense in XX. In this article, we consider the operators introduced by Aron and Markose,
Romero de la Rosa María Pilar
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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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Chaos for the Dynamics of Toeplitz Operators
Mathematics, 2022 Chaotic properties in the dynamics of Toeplitz operators on the Hardy–Hilbert space H2(D) are studied. Based on previous results of Shkarin and Baranov and Lishanskii, a characterization of different versions of chaos formulated in terms of the ...
Salud Bartoll +3 more
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Hypercyclic Generalized Shift Operators
Complex Analysis and Operator Theory, 2023 In this paper, we study the linear dynamical properties of shift operators on some classes of Segal algebras. Moreover, we characterize hypercyclic generalized bilateral shift operators on the standard Hilbert module.
Ivkovi?, Stefan +1 more
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