Results 31 to 40 of about 491,446 (159)
Hypercyclic Operators on Hilbert C*-modules [PDF]
, 2023 In this paper, we characterize hypercyclic generalized bilateral weighted shift operators on the standard Hilbert module over the C*-algebra of compact operators on the separable Hilbert space.
Ivkovic, Stefan
core +1 more source
Various notions of subspace hypercyclic power operators and their direct sums in operator spaces [PDF]
European Journal of Mathematics and ApplicationsSubspace hypercyclic operators forms a very important class of operators in operator spaces.A lot of their properties have been studied over along period of time, however, complete characterization of this property has not been done.
David Otwisa Wechuli +2 more
doaj +1 more source
Cyclic behaviour of Volterra composition operators [PDF]
, 2011 We determine the cyclic behaviour of Volterra composition operators, which are defined as $(V_\phif)(x) =\int_0^{\phi(x)}f(t) dt$, $f ? L^p[0, 1]$, 1\leq p <\infty$,where $?$ is a measurable self-map of [0, 1].
Stanislav Shkarin +5 more
core +1 more source
Operators Approximable by Hypercyclic Operators [PDF]
Mathematical Proceedings of the Royal Irish Academy, 2015 We show that operators on a separable infinite dimensional Banach space $X$ of the form $I +S$, where $S$ is an operator with dense generalised kernel, must lie in the norm closure of the hypercyclic operators on $X$, in fact in the closure of the mixing operators.
openaire +4 more sources
Hypercyclic operators on algebra of symmetric analytic functions on $\ell_p$
Karpatsʹkì Matematičnì Publìkacìï, 2016 In the paper, it is proposed a method of construction of hypercyclic composition operators on $H(\mathbb{C}^n)$ using polynomial automorphisms of $\mathbb{C}^n$ and symmetric analytic functions on $\ell_p.$ In particular, we show that an "symmetric ...
Z.G. Mozhyrovska
doaj +1 more source
A Hypercyclic Operator whose Adjoint is Also Hypercyclic [PDF]
Proceedings of the American Mathematical Society, 1991 An operator T T acting on a Hilbert space
openaire +1 more source
q-Frequent hypercyclicity in spaces of operators [PDF]
Monatshefte für Mathematik, 2016 We provide conditions for a linear map of the form $C_{R,T}(S)=RST$ to be $q$-frequently hypercyclic on algebras of operators on separable Banach spaces. In particular, if $R$ is a bounded operator satisfying the $q$-Frequent Hypercyclicity Criterion, then the map $C_{R}(S)$=$RSR^*$ is shown to be $q$-frequently hypercyclic on the space $\mathcal{K}(H)$
Gupta, Manjul, Mundayadan, Aneesh
openaire +2 more sources
Extending Families of Disjoint Hypercyclic Operators [PDF]
, 2023 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.
Martin, Özgür, Sanders, Rebecca
core +1 more source
Disjoint and simultaneous hypercyclic Rolewicz-type operators
, 2021 We characterize disjoint hypercyclic and supercyclic tuples of unilateral Rolewicz-type operators on $c_0(\N)$ and $\ell^p(\N)$, $p \in [1, \infty)$, which are a generalization of the unilateral backward shift operator.
Martin, Özgür +3 more
core +1 more source
Hypercyclictty and Countable Hypercyclicity for Adjoint of Operators
مجلة بغداد للعلوم, 2010 Let be an infinite dimensional separable complex Hilbert space and let , where is the Banach algebra of all bounded linear operators on . In this paper we prove the following results. If is a operator, then 1.
Baghdad Science Journal
doaj +1 more source