Results 1 to 10 of about 56 (53)
On the Recurrent C0-Semigroups, Their Existence, and Some Criteria
Journal of Mathematics, 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.
Mansooreh Moosapoor
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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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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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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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G- Cyclicity And Somewhere Dense Orbit
مجلة بغداد للعلوم, 2010 let H be an infinite – dimensional separable complex Hilbert space, and S be a multiplication semigroup of with 1. An operator T is called G-cyclic over S if there is a non-zero vector xÎ H such that {aTn x½aÎS, n ≥0} is norm-dense in H.
Zeana Zaki Jamil
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Abstract and Applied Analysis, Volume 2018, Issue 1, 2018., 2018 The main aim of this paper is to investigate generalized asymptotical almost periodicity and generalized asymptotical almost automorphy of solutions to a class of abstract (semilinear) multiterm fractional differential inclusions with Caputo derivatives. We illustrate our abstract results with several examples and possible applications.
G. M. N’Guérékata +2 more
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S‐Mixing Tuple of Operators on Banach Spaces
Journal of Function Spaces, Volume 2016, Issue 1, 2016., 2016 We consider the question: what is the appropriate formulation of Godefroy‐Shapiro criterion for tuples of operators? We also introduce a new notion about tuples of operators, S‐mixing, which lies between mixing and weakly mixing. We also obtain a sufficient condition to ensure a tuple of operators to be S‐mixing.
Wei Wang +3 more
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Hypercyclic Behavior of Translation Operators on Spaces of Analytic Functions on Hilbert Spaces
Journal of Function Spaces, Volume 2015, Issue 1, 2015., 2015 We consider special Hilbert spaces of analytic functions of many infinite variables and examine composition operators on these spaces. In particular, we prove that under some conditions a translation operator is bounded and hypercyclic.
Zoryana Mozhyrovska +2 more
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