Results 31 to 40 of about 990 (118)
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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Countably Generated Algebras of Analytic Functions on Banach Spaces
Axioms, 2023 In the paper, we study various countably generated algebras of entire analytic functions on complex Banach spaces and their homomorphisms. Countably generated algebras often appear as algebras of symmetric analytic functions on Banach spaces with respect
Zoriana Novosad +2 more
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Analytic Automorphisms and Transitivity of Analytic Mappings
Mathematics, 2020 In this paper, we investigate analytic automorphisms of complex topological vector spaces and their applications to linear and nonlinear transitive operators.
Zoriana Novosad, Andriy Zagorodnyuk
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Hypercyclic weighted shifts [PDF]
Transactions of the American Mathematical Society, 1995 Summary: An operator \(T\) acting on a Hilbert space is hypercyclic if, for some vector \(x\) in the space, the orbit \(\{T^ n x: n\geq 0\}\) is dense. In this paper we characterize hypercyclic weighted shifts in terms of their weight sequences and identify the direct sums of hypercyclic weighted shifts which are also hypercyclic.
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Journal d'Analyse Mathématique, 2020 We completely characterize the finite dimensional subsets A of any separable Hilbert space for which the notion of A-hypercyclicity coincides with the notion of hypercyclicity, where an operator T on a topological vector space X is said to be A-hypercyclic if the set {T n x, n $\ge$ 0, x $\in$ A} is dense in X.
Charpentier, Stéphane, Ernst, Romuald
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Strongly mixing convolution operators on Fr\'echet spaces of holomorphic functions [PDF]
, 2014 A theorem of Godefroy and Shapiro states that non-trivial convolution operators on the space of entire functions on $\mathbb{C}^n$ are hypercyclic. Moreover, it was shown by Bonilla and Grosse-Erdmann that they have frequently hypercyclic functions of ...
Muro, Santiago +2 more
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Supercyclic Weighted Translations on Quotient Spaces
AxiomsIn this note, we give the sufficient and necessary condition for weighted translations on the Orlicz spaces of quotient spaces to be supercyclic. By applying this characterization of supercyclicity, the descriptions of hypercyclicity, topological mixing ...
AliReza Bagheri Salec +3 more
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Numerically Hypercyclic Operators
Integral Equations and Operator Theory, 2012 Sung Guen Kim was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2010-0009854). A. Peris was supported in part by MICINN and FEDER, Project MTM2010-14909, and by Generalitat Valenciana, Project PROMETEO/2008/101.
Kim, Sung Guen +2 more
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, 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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A Hypercyclic Operator whose Adjoint is Also Hypercyclic [PDF]
Proceedings of the American Mathematical Society, 1991 An operator T T acting on a Hilbert space H H is hypercyclic if, for some vector x x in H H , the orbit { T n x : n ≥ 0 } \{ {T^n}x:n \geq 0\} is dense in H
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