Results 61 to 70 of about 491,446 (159)
Arab Journal of Mathematical Sciences, 2017 In this paper, we define and study subspace-diskcyclic operators. We show that subspace-diskcyclicity does not imply diskcyclicity. We establish a subspace-diskcyclic criterion and use it to find a subspace-diskcyclic operator that is not subspace ...
Nareen Bamerni, Adem Kılıçman
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Chaos on Fuzzy Dynamical Systems
Mathematics, 2021 Given a continuous map f:X→X on a metric space, it induces the maps f¯:K(X)→K(X), on the hyperspace of nonempty compact subspaces of X, and f^:F(X)→F(X), on the space of normal fuzzy sets, consisting of the upper semicontinuous functions u:X→[0,1] with ...
Félix Martínez-Giménez +2 more
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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
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Subspace-hypercyclic weighted shifts
, 2018 Our aim in this paper is to obtain necessary and sufficient conditions for bilateral and unilateral weighted shift operators to be subspace-transitive. We show that the Herrero question [6] holds true even on a subspace of a Hilbert space, i.e.
Nareen Bamerni +3 more
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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
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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 +1 more
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Hereditarily Hypercyclic Operators [PDF]
, 1999 We show that a continuous linear operator T on a Fréchet space satisfies the so-called Hypercyclicity Criterion if and only if it is hereditarily hypercyclic, and if and only if the direct sum T⊕T is hypercyclic. In particular, hypercyclic operators with
Bès, Juan, Peris, Alfredo
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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 +2 more
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On subspace-hypercyclic operators [PDF]
Proceedings of the American Mathematical Society, 2011 In this paper we study an operator T T on a Banach space
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Notes about Quasi-Mixing Operators [PDF]
Sahand Communications in Mathematical AnalysisIn 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
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