Results 11 to 20 of about 559 (116)
Journal of Mathematical Analysis and Applications, 2010 15 ...
Blair F. Madore +1 more
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Some properties of subspaces-hypercyclic operators [PDF]
, 2014 In this paper, we answer a question posed in the introduction of \cite{sub hyp} positively, i.e, we show that if $T$ is $\mathcal M$-hypercyclic operator with $\mathcal M$-hypercyclic vector $x$ in a Hilbert space $\mathcal H$, then $P(Orb(T,x))$ is dense in the subspace $\mathcal M$ where $P$ is the orthogonal projection onto $\mathcal M$. Furthermore,
Nareen Sabih, Adem Kılıçman
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Subspace-hypercyclic conditional type operators on $L^p$-spaces [PDF]
, 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 $\mathcal{A}$.
M. R. Azimi, Z. Naghdi
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Subspace-hypercyclic weighted shifts [PDF]
Operators and Matrices, 2018 Our aim in this paper is to obtain necessary and sufficient conditions for weighted shift operators on the Hilbert spaces $\ell^{2}(\mathbb Z)$ and $\ell^{2}(\mathbb N)$ to be subspace-transitive, consequently, we show that the Herrero question (D. A. Herrero. Limits of hypercyclic and supercyclic operators, J. Funct.
Nareen Bamerni, Adem Kılıçman
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Subspaces of Frequently Hypercyclic Functions for Sequences of Composition Operators [PDF]
Constructive Approximation, 2019 In this paper, a criterion for a sequence of composition operators defined on the space of holomorphic functions in a complex domain to be frequently hypercyclic is provided. Such criterion improves some already known special cases and, in addition, it is also valid to provide dense vector subspaces as well as large closed ones consisting entirely ...
L. Bernal-González +3 more
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Hypercyclic subspaces in Fréchet spaces [PDF]
Proceedings of the American Mathematical Society, 2005 In this note, we show that every infinite-dimensional separable Fréchet space admitting a continuous norm supports an operator for which there is an infinite-dimensional closed subspace consisting, except for zero, of hypercyclic vectors. The family of such operators is even dense in the space of bounded operators when endowed with the strong operator ...
L. Bernal-González
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Existence of hypercyclic subspaces for Toeplitz operators [PDF]
Ufimskii Matematicheskii Zhurnal, 2015 Andrei Aleksandrovich Lishanskii
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Hypercyclic Subspaces on Fréchet Spaces Without Continuous Norm [PDF]
Integral Equations and Operator Theory, 2013 Known results about hypercyclic subspaces concern either Fr chet spaces with a continuous norm or the space . We fill the gap between these spaces by investigating Fr chet spaces without continuous norm. To this end, we divide hypercyclic subspaces into two types: the hypercyclic subspaces M for which there exists a continuous seminorm p such that ...
Quentin Menet
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A class of Toeplitz operators with hypercyclic subspaces [PDF]
, 2013 5 ...
Andrei Lishanskii
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Some Results on Subspace-Hypercyclic Operators [PDF]
, 2019 A bounded linear operator $T$ on a Banach space $X$ is called subspace-hypercyclic if there is a subspace $M \subsetneq X$ and a vector $x \in X$ such that $orb{(x,T)} \cap M$ is dense in $M$. We show that every Banach space supports subspace-hypercyclic operators and provide a new criteira for subspace-hypercyclic operators, generalizing a previous ...
André Augusto, Leonardo Pellegrini
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