Results 61 to 70 of about 1,158,171 (157)

Spaces that admit hypercyclic operators with hypercyclic adjoints [PDF]

Proceedings of the American Mathematical Society, 2005
A continuous linear operator T : X →
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On locally finite groups whose derived subgroup is locally nilpotent

Mathematische Nachrichten, Volume 297, Issue 12, Page 4389-4400, December 2024.
Abstract A celebrated theorem of Helmut Wielandt shows that the nilpotent residual of the subgroup generated by two subnormal subgroups of a finite group is the subgroup generated by the nilpotent residuals of the subgroups. This result has been extended to saturated formations in Ballester‐Bolinches, Ezquerro, and Pedreza‐Aguilera [Math. Nachr.
Marco Trombetti
wiley   +1 more source

Rate of Growth of Hypercyclic and Frequently Hypercyclic Functions for the Dunkl Operator [PDF]

Mediterranean Journal of Mathematics, 2016
For the Dunkl operator $Λ_α$ $(α> -1/2)$ on the space of entire functions on the complex space C, the critical rate of growth for the integral means $M_p(f,r)$ of their hypercyclic functions $f$ is obtained. The rate of growth of the corresponding frequently hypercyclic functions is also analyzed.
Bernal González, Luis, Bonilla Ramírez, Antonio Lorenzo   +1 more
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Frequently Hypercyclic Semigroup Generated by Some Partial Differential Equations with Delay Operator

Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.
In this paper, under appropriate hypotheses, we have the existence of a solution semigroup of partial differential equations with delay operator. These equations are used to describe time–age‐structured cell cycle model. We also prove that the solution semigroup is a frequently hypercyclic semigroup.
Cheng-Hung Hung, Victor Kovtunenko
wiley   +1 more source

Hypercyclic operators on spaces of block-symmetric analytic functions

Karpatsʹkì Matematičnì Publìkacìï, 2013
The paper contains proof of the hypercyclicity of “symmetric translation” on the algebras of block-symmetric analytic functions of bounded type on an isomorphic copy of $l_1$.
V.V. Kravtsiv, Z.G. Mozhyrovska, A.V. Zagorodnyuk   +2 more
doaj   +3 more sources

Notes about Quasi-Mixing Operators [PDF]

Sahand Communications in Mathematical Analysis
In this article, we introduce quasi-mixing operators and construct various examples. We prove that quasi-mixing operators exist on all finite-dimensional and infinite-dimensional  Banach spaces.
Mansooreh Moosapoor, Ismail Nikoufar
doaj   +1 more source

Compactness and hypercyclicity of co-analytic Toeplitz operators on de Branges-Rovnyak spaces

Concrete Operators, 2020
We study the compactness and the hypercyclicity of Toeplitz operators Tϕ¯,b{T_{\bar \varphi ,b}} with co-analytic and bounded symbols on de Branges-Rovnyak spaces ℋ(b).
Alhajj Rim
doaj   +1 more source

Supermixing and hypermixing of strongly continuous semigroups and their direct sum

Journal of Taibah University for Science, 2021
Supermixing and hypermixing strongly continuous semigroups are introduced in this paper. It is proved that supermixing preserves under quasiconjugacy. Moreover, it is established that if a strongly continuous semigroup is supermixing(hypermixing), then ...
Mansooreh Moosapoor
doaj   +1 more source

Hypercyclic sequences of operators [PDF]

Studia Mathematica, 2006
A sequence (Tn) of bounded linear operators between Banach spaces X,Y is said to be hypercyclic if there exists a vector x ∈ X such that the orbit {Tnx} is dense in Y . The paper gives a survey of various conditions that imply the hypercyclicity of (Tn) and studies relations among them.
León-Saavedra, F., Müller, V. (Vladimír)   +1 more
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Cyclic Composition operators on Segal-Bargmann space

Concrete Operators, 2022
We study the cyclic, supercyclic and hypercyclic properties of a composition operator Cϕ on the Segal-Bargmann space ℋ(ℰ), where ϕ(z) = Az + b, A is a bounded linear operator on ℰ, b ∈ ℰ with ||A|| ⩽ 1 and A*b belongs to the range of (I – A*A)½ ...
Ramesh G., Ranjan B. Sudip, Naidu D. Venku   +2 more
doaj   +1 more source