Results 1 to 10 of about 586 (67)
About Subspace-Frequently Hypercyclic Operators [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, we introduce subspace-frequently hypercyclic operators. We show that these operators are subspace-hypercyclic and there are subspace-hypercyclic operators that are not subspace-frequently hypercyclic. There is a criterion like to subspace-
Mansooreh Moosapoor, Mohammad Shahriari
doaj +15 more sources
Hypercyclic operators are subspace hypercyclic
Journal of Mathematical Analysis and Applications, 2016 A bounded operator \(T\) on a separable Banach space \(X\) is called subspace hypercyclic for a subspace \(M\) of \(X\) if there is a vector \(x \in X\) such that the intersection of its orbit and \(M\) is dense in \(M\). The aim of this paper is to solve a question of \textit{B. F. Madore} and \textit{R. A. Martínez-Avendaño} [J. Math. Anal. Appl. 373,
Nareen Bamerni +2 more
openaire +4 more sources
Existence of common and upper frequently hypercyclic subspaces [PDF]
, 2014 We provide criteria for the existence of upper frequently hypercyclic subspaces and for common hypercyclic subspaces, which include the following consequences.
Bès, Juan, Menet, Quentin
core +2 more sources
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 E E which is M M -hypercyclic for some subspace M M of E E . We give a sufficient condition for such an operator to be M M -hypercyclic and use it to answer negatively two questions asked by ...
openaire +1 more source
Frequently hypercyclic bilateral shifts [PDF]
, 2017 It is not known if the inverse of a frequently hypercyclic bilateral weighted shift on $c_0(\mathbb{Z})$ is again frequently hypercyclic. We show that the corresponding problem for upper frequent hypercyclicity has a positive answer.
Grosse-Erdmann, Karl-G.
core +2 more sources
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
doaj +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
SUBSPACE-HYPERCYCLIC TUPLES OF OPERATORS [PDF]
International Journal of Pure and Apllied Mathematics, 2016 In this paper we introduce subspace-hypercyclic tuples of operators and construct interesting examples of such operators. We state some sufficient conditions for n-tuples of operators to be subspace-hypercyclic. Surprisingly, we prove that subspace-hypercyclic tuples exist on finite-dimensional spaces.
openaire +1 more source
Subspace-hypercyclic conditional type operators on $L^p$-spaces
, 2022 A conditional weighted composition operator $T_u: L^p(Σ)\rightarrow L^p(\mathcal{A})$ ($1\leq p<\infty$), is defined by $T_u(f):= E^{\mathcal{A}}(u f\circ φ)$, where $φ: X\rightarrow X$ is a measurable transformation, $u$ is a weight function on $X$ and $E^{\mathcal{A}}$ is the conditional expectation operator with respect to $\mathcal{A}$.
Azimi, M. R., Naghdi, Z.
openaire +2 more sources
Strongly mixing convolution operators on Fr\'echet spaces of holomorphic functions [PDF]
, 2014 A theorem of Godefroy and Shapiro states that non-trivial convolution operators on the space of entire functions on $\mathbb{C}^n$ are hypercyclic. Moreover, it was shown by Bonilla and Grosse-Erdmann that they have frequently hypercyclic functions of ...
Muro, Santiago +2 more
core +2 more sources