Results 81 to 90 of about 1,090 (133)

GELFOND-LEONTYEV GENERAL DIFFERETIATION OPERATORS AND BRENKE POLYNOMIALS

Advanced Engineering Research, 2010
Natural connection between Gelfond-Leontyev generalized derivation operators (GDO) and  Brenke polynomials is established. Operator extension criterion commuting with GDO up to continuous H(G) space is derived.
Alexander V. BRATISHCHEV
doaj  

Dual disjoint hypercyclic operators

Journal of Mathematical Analysis and Applications, 2011
A finite family of operators \(T_1,T_2,\dots ,T_m\), \(m\geq 2\), on a Fréchet space \(E\) is disjointly hypercyclic if there are \(x\in E\) such that \(\{ ( T_1^nx, \dots ,T_m^nx) \mid n\geq 0\}\) is dense in \(E^m\). The author shows that for every separable infinite-dimensional Banach space \(E\), and for each \(m\geq 2\), there is a family of ...
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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., Martínez-Giménez, F., Peris, A., Rodenas, F.   +3 more
core  

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.
core  

Hereditarily frequently hypercyclic operators and disjoint frequent hypercyclicity

Ergodic Theory and Dynamical Systems
AbstractWe introduce and study the notion of hereditary frequent hypercyclicity, which is a reinforcement of the well-known concept of frequent hypercyclicity. This notion is useful for the study of the dynamical properties of direct sums of operators; in particular, a basic observation is that the direct sum of a hereditarily frequently hypercyclic ...
FRÉDÉRIC BAYART, SOPHIE GRIVAUX, ÉTIENNE MATHERON, QUENTIN MENET   +3 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., Bonilla, A., Peris, A.   +2 more
core  

Extending families of disjoint hypercyclic operators

Journal of Mathematical Analysis and Applications
In the present note, we solve two open questions posed by Salas in [H. Salas, The strong disjoint blow-up/collapse property, J. Funct. Spaces Appl., 2013, Article ID 146517, 6 pages] about disjoint hypercyclic operators. First, we show that given any family $T_1, \dots, T_N$ of disjoint hypercyclic operators, one can always select an operator $T$ such ...
Özgür Martin, Rebecca Sanders
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F-hypercyclic operators on Fréchet spaces

Publications de l'Institut Mathematique, 2019
We investigate F-hypercyclicity of linear, not necessarily continuous, operators on Frechet spaces. The notion of lower (mn)-hypercyclicity seems to be new and not considered elsewhere even for linear continuous operators acting on Frechet spaces.
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Some characterizations of disjoint topological transitivity on Orlicz spaces. [PDF]

J Inequal Appl, 2018
Chen CC, Du WS.
europepmc   +1 more source

On Cesaro-Hypercyclic Operators

International Journal of Analysis and Applications
In this paper we characterize some properties of the Cesaro-Hypercyclic and mixing operators. At the same time, we also give a Cesaro-Hypercyclicity criterion and offer an example of this criterion.
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