Results 61 to 70 of about 559 (116)
Frequently hypercyclic abstract higher-order differential equations [PDF]
, 2018 In this note, we analyze frequently hypercyclic solutions of abstract higher-order differential equations in separable infinite-dimensional complex Banach spaces.
Chaouchi, Belkacem, Kostic, Marko
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Multiplicative structures of hypercyclic functions for convolution operators
, 2017 In this note, it is proved the existence of an infinitely generated multiplicative group consisting of entire functions that are, except for the constant function 1, hypercyclic with respect to the convolution operator associated to a given entire ...
Bernal-González, Luis +3 more
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A hypercyclic finite rank perturbation of a unitary operator
, 2010 A unitary operator $V$ and a rank $2$ operator $R$ acting on a Hilbert space $\H$ are constructed such that $V+R$ is hypercyclic. This answers affirmatively a question of Salas whether a finite rank perturbation of a hyponormal operator can be ...
A. Belov +10 more
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Mean Li-Yorke chaos in Banach spaces
, 2018 We investigate the notion of mean Li-Yorke chaos for operators on Banach spaces. We show that it differs from the notion of distributional chaos of type 2, contrary to what happens in the context of topological dynamics on compact metric spaces. We prove
Bernardes Jr., N. C. +2 more
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Universality of sequences of operators related to Taylor series [PDF]
, 2019 In this note, the universality of a sequence of operators associated to the partial sums of the Taylor series of a holomorphic function is investigated.
Bernal González, Luis +3 more
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Existence of common hypercyclic subspaces for the derivative operator and the translation operators [PDF]
, 2016 Quentin Menet
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Hypercyclic subspaces for Fréchet space operators
Journal of Mathematical Analysis and Applications, 2006 Let \(X\) be a topological vector space. A linear continuous operator \(T:X\to X\) is said to be hypercyclic if there is a vector \(x\in X\) (called hypercyclic vector for \(T\)) such that its orbit under \(T\) is dense in \(X\). A hypercyclic subspace of \(T\) is a closed infinite-dimensional subspace \(H\subset X\) such that any nonzero vector of \(H\
openaire +2 more sources
Some recent work in Frechet geometry
, 2011 Some recent work in Frechet geometry is briefly reviewed. In particular an earlier result on the structure of second tangent bundles in the finite dimensional case was extended to infinite dimensional Banach manifolds and Frechet manifolds that could be ...
Dodson, C. T. J.
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Strong mixing measures for $C_0$-semigroups
, 2013 Our purpose is to obtain a very effective and general method to prove that certain $C_0$-semigroups admit invariant strongly mixing measures. More precisely, we show that the Frequent Hypercyclicity Criterion for $C_0$-semigroups ensures the existence of
Murillo-Arcila, Marina, Peris, Alfredo
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Distributional chaos for weighted translation operators on groups
, 2018 In this paper, we initiate the study of distributional chaos for weighted translations on locally compact groups, and give a sufficient condition for such operators to be distributionally chaotic. We also investigate the set of distributionally irregular
Chen, Chung-Chuan +2 more
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