Results 81 to 90 of about 592 (143)

Recurrence and mixing recurrence of multiplication operators [PDF]

Mathematica Bohemica
Let $X$ be a Banach space, $\mathcal{B}(X)$ the algebra of bounded linear operators on $X$ and $(J, \|{\cdot}\|_J)$ an admissible Banach ideal of $\mathcal{B}(X)$.
Mohamed Amouch, Hamza Lakrimi
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The interplay between recurrence and hypercyclicity in dissipative contexts

, 2023
Motivated by recent investigations \cite{Costakis, Bonilla} on the notion of recurrence in linear dynamics, we deepen into the notions of recurrence and frequent recurrence in the setting of dissipative composition operators with bounded distortion, a ...
Maiuriello, M., D'Aniello, E., Sepulveda, J. B. Seoane   +2 more
core  

Extension of hypercyclic and frequently hypercyclic subspaces

We focus on the existence of large linear structures within the sets of hypercyclic and frequently hypercyclic vectors. For operators $T$ satisfying Kitai's Criterion or the Frequent Hypercyclicity Criterion, we analyze the fundamental linear space $\{f(T)x | f \in H(\mathbb{C})\}$, studied by Herrero, Bourdon, Bès, Wengenroth, and many others. We show
Silva, Felipe Carvalho, Ribeiro, Geivison, Varão, Régis   +2 more
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Recurrency on the Space of Hilbert-Schmidt Operators

مجلة بغداد للعلوم
In this paper, it is proved that if a C0-semigroup is chaotic, hypermixing or supermixing, then the related left multiplication C0-semigroup on the space of Hilbert-Schmidt operators is recurrent if and only if it is hypercyclic. Also, it is stated that
Mansooreh Moosapoor
doaj   +1 more source

Hypercyclic Composition Operators

Journal of Vasyl Stefanyk Precarpathian National University, 2015
In this paper we give survey of hypercyclic composition operators. In pacticular,we represent new classes of hypercyclic composition operators on the spaces of analyticfunctions
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Hereditarily frequently hypercyclic operators and disjoint frequent hypercyclicity [PDF]

We introduce and study the notion of hereditary frequent hypercyclicity, which is a reinforcement of the well known concept of frequent hypercyclicity.
Bayart, F., Matheron, E., Grivaux, S., Menet, Q.   +3 more
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Disjointness in hypercyclicity

Journal of Mathematical Analysis and Applications, 2007
The authors introduce and study the notion of disjoint hypercyclicity: if \(T_1, \dots, T_N\) are \(N\) hypercyclic operators acting on a Fréchet space \(X\), then \(T_1, \dots, T_N\) are said to be disjoint (or \(d\)-hypercyclic) if there exists \(x\in X\) such that the set \[ \{(T_1^nx, \dots, T_N^nx)\mid n\geq 0\} \] is dense in \(X^N\).
Bès, Juan, Peris, Alfredo
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Subspace-diskcyclic sequences of linear operators [PDF]

Sahand Communications in Mathematical Analysis, 2017
A sequence ${T_n}_{n=1}^{infty}$ of bounded linear  operators on a separable infinite dimensional Hilbert space $mathcal{H}$ is called subspace-diskcyclic with respect to the closed subspace $Msubseteq mathcal{H},$ if there exists a vector $xin mathcal{H}
Mohammad Reza Azimi
doaj  

Chromatic polynomials of mixed hypercycles

Discussiones Mathematicae Graph Theory, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Allagan Julian A., Slutzky David
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Densely hereditarily hypercyclic sequences and large hypercyclic manifolds [PDF]

Proceedings of the American Mathematical Society, 1999
We prove in this paper that if ( T n
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