Zobrazeno 1 - 10
of 161
pro vyhledávání: '"D'ANIELLO, Emma"'
This study examines the synchronization of three identical oscillators arranged in an array and coupled by small impacts, wherein each oscillator interacts solely with its nearest neighbor. The synchronized state, which is asymptotically stable, is c
Externí odkaz:
http://arxiv.org/abs/2405.06585
Autor:
D'Aniello, Emma, Maiuriello, Martina
The concept of $\mathbb C$-supercyclic operators was introduced by Hilden and Wallen in \cite{hilden} and, since then, a multitude of variants have been studied. In \cite{herzog1992linear}, Herzog proved that every real or complex, separable, infinit
Externí odkaz:
http://arxiv.org/abs/2404.04028
Autor:
D'Aniello, Emma, Maiuriello, Martina
Publikováno v:
J. Math. Anal. Appl. 526 (2023) 127177
We prove the spaceability of the set of hypercyclic vectors for {\em shifts-like operators}. Shift-like operators appear naturally as composition operators on $L^p(X)$, when the underlying space $X$ is dissipative. In the process of proving the main
Externí odkaz:
http://arxiv.org/abs/2211.07224
Autor:
D'Aniello, Emma, Maiuriello, Martina
It is well-known that, in Linear Dynamics, the most studied class of linear operators is certainly that of weighted shifts, on the separable Banach spaces $c_0$ and $\ell^p$, $1 \leq p< \infty$. Over the last decades, the intensive study of such oper
Externí odkaz:
http://arxiv.org/abs/2210.01510
In this paper, we study Lebesgue differentiation processes along rectangles $R_k$ shrinking to the origin in the Euclidean plane, and the question of their almost everywhere convergence in $L^p$ spaces. In particular, classes of examples of such proc
Externí odkaz:
http://arxiv.org/abs/2207.02176
We introduce the notion of \textit{Perron capacity} of a set of slopes $\Omega \subset \mathbb{R}$. Precisely, we prove that if the Perron capacity of $\Omega$ is finite then the directional maximal operator associated $M_\Omega$ is not bounded on $L
Externí odkaz:
http://arxiv.org/abs/2206.06408
In this article we develop a general technique which takes a known characterization of a property for weighted backward shifts and lifts it up to a characterization of that property for a large class of operators on $L^p(X)$. We call these operators
Externí odkaz:
http://arxiv.org/abs/2107.12103
Publikováno v:
Journal of Differential Equations 2021
It is rather well-known that hyperbolic operators have the shadowing property. In the setting of finite dimensional Banach spaces, having the shadowing property is equivalent to being hyperbolic. In 2018, Bernardes et al. constructed an operator with
Externí odkaz:
http://arxiv.org/abs/2009.11526
Autor:
D'Aniello, Emma, Maiuriello, Martina
We investigate some types of composition operators, linear and not, and conditions for some spaces to be mapped into themselves and for the operators to satisfy some good properties.
Comment: Accepted for publication in Aequationes Mathematicae
Comment: Accepted for publication in Aequationes Mathematicae
Externí odkaz:
http://arxiv.org/abs/2005.07735
Publikováno v:
Proc. Amer. Math. Soc. 150 (2022), no. 7
Weighted shifts are an important concrete class of operators in linear dynamics. In particular, they are an essential tool in distinguishing variety dynamical properties. Recently, a systematic study of dynamical properties of composition operators o
Externí odkaz:
http://arxiv.org/abs/1906.11071