Results 11 to 20 of about 195 (40)
Hypercyclic operators on topological vector spaces
, 2010 Bonet, Frerick, Peris and Wengenroth constructed a hypercyclic operator on the locally convex direct sum of countably many copies of the Banach space $\ell_1$. We extend this result.
Shkarin, Stanislav
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Hypercyclic subspaces in Fréchet spaces [PDF]
, 2006 In this note, we show that every infinite-dimensional separable Fr´echet space admitting a continuous norm supports an operator for which there is an infinite-dimensional closed subspace consisting, except for zero, of hypercyclic vectors.
Bernal González, Luis
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Chaotic translations on weighted Orlicz spaces
, 2018 Let $G$ be a locally compact group, $w$ be a weight on $G$ and $\Phi$ be a Young function. We give some characterizations for translation operators to be topologically transitive and chaotic on the weighted Orlicz space $L_w^\Phi(G)$.
Chen, Chung-Chuan +3 more
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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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A new class of frequently hypercyclic operators [PDF]
, 2010 We study a hypercyclicity property of linear dynamical systems: a bounded linear operator T acting on a separable infinite-dimensional Banach space X is said to be hypercyclic if there exists a vector x in X such that {T^{n}x : n>0} is dense in X, and ...
Grivaux, Sophie
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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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The Specification Property for $C_0$-Semigroups
, 2018 We study one of the strongest versions of chaos for continuous dynamical systems, namely the specification property. We extend the definition of specification property for operators on a Banach space to strongly continuous one-parameter semigroups of ...
Bartoll, S. +3 more
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Compositional frequent hypercyclicity on weighted Dirichlet spaces [PDF]
, 2010 It is proved that, in most cases, a scalar multiple of a linear-fractional generated composition operator λCϕ acting on a weighted Dirichlet space Sν of holomorphic functions in the open unit disk is frequently hypercyclic if and only if it is ...
Bernal González, Luis +1 more
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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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