Results 1 to 10 of about 475 (70)
A remark on the frequent hypercyclicity criterion for weighted composition semigroups and an application to the linear von Foerster-Lasota equation [PDF]
Mathematische Nachrichten, 2014 We generalize a result for the translation $C_0$-semigroup on $L^p(\R_+,\mu)$ about the equivalence of being chaotic and satisfying the Frequent Hypercyclicity criterion due to Mangino and Peris to certain weighted composition $C_0$-semigroups. Such $C_0$
Kalmes, Thomas
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Some necessary and sufficient conditions for Hypercyclicity Criterion [PDF]
Proceedings Mathematical Sciences, 2005 We give necessary and sufficient conditions for an operator on a separable Hilbert space to satisfy the hypercyclicity criterion.
Yousefi, B., Rezaei, H.
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The Hypercyclicity Criterion for sequences of operators [PDF]
Studia Mathematica, 2003 Let \(X\) denote a separable, complete, metrizable topological vector space (a separable \(F\)-space). A sequence \((T_n) \subset L(X)\) of continuous linear operators on \(X\) is called hypercyclic if there exists \(x \in X\), called a hypercyclic vector, for the sequence, such that its orbit \(\{ T_1(x),T_2(x),\dots \}\) is dense in \(X\). A sequence
Bernal-González, L. +1 more
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About Subspace-Frequently Hypercyclic Operators [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, we introduce subspace-frequently hypercyclic operators. We show that these operators are subspace-hypercyclic and there are subspace-hypercyclic operators that are not subspace-frequently hypercyclic. There is a criterion like to subspace-
Mansooreh Moosapoor, Mohammad Shahriari
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Topologically mixing extensions of endomorphisms on Polish groups
Applied General Topology, 2022 In this paper we study the dynamics of continuous endomorphisms on Polish groups. We offer necessary and sufficient conditions for a continuous endomorphism on a Polish group to be weakly mixing.
John Burke, Leonardo Pinheiro
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TUPLE OF OPERATORS WITH THE PROPERTY OF HYPERCYCLICITY CRITERION [PDF]
International Journal of Pure and Apllied Mathematics, 2013 Summary: In this paper, we give conditions under which a tuple of operators satisfies the Hypercyclicity Criterion.
Yousefi, B. +3 more
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Topological mixing and Hypercyclicity Criterion for sequences of operators [PDF]
Proceedings of the American Mathematical Society, 2006 A sequence of linear and continuous operators \(T_n:X\to X\) (\(n\geq0\)) on a separable Fréchet space X is said to be \textit{hypercyclic} (HC), respectively \textit{densely hypercyclic} (DHC), whenever there exists a vector \(x\in X\), respectively a dense set of vectors \(x\in X\), with dense orbit \(\{T_nx:\;n\geq0\}\) in \(X\). Given an increasing
Chen, Jeng-Chung, Shaw, Sen-Yen
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A quantitative interpretation of the frequent hypercyclicity criterion [PDF]
Ergodic Theory and Dynamical Systems, 2017 We give a quantitative interpretation of the frequent hypercyclicity criterion. Actually we show that an operator which satisfies the frequent hypercyclicity criterion is necessarily $A$-frequently hypercyclic, where $A$ refers to some weighted densities sharper than the natural lower density.
Ernst, Romuald, Mouze, Augustin
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Frequently hypercyclic semigroups [PDF]
, 2010 We study frequent hypercyclicity in the context of strongly continuous semigroups of operators. More precisely, we give a criterion (sufficient condition) for a semigroup to be frequently hypercyclic, whose formulation depends on the Pettis integral ...
Mangino, E. M., Peris, A.
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Existence of common and upper frequently hypercyclic subspaces [PDF]
, 2014 We provide criteria for the existence of upper frequently hypercyclic subspaces and for common hypercyclic subspaces, which include the following consequences.
Bès, Juan, Menet, Quentin
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