Zobrazeno 1 - 10
of 147
pro vyhledávání: '"Grivaux Sophie"'
Autor:
Fricain Emmanuel, Grivaux Sophie
Publikováno v:
Moroccan Journal of Pure and Applied Analysis, Vol 9, Iss 2, Pp 216-237 (2023)
In this paper, we study the cyclicity problem with respect to the forward shift operator Sb acting on the de Branges–Rovnyak space ℋ (b) associated to a function b in the closed unit ball of H∞ and satisfying log(1− |b| ∈ L1(𝕋). We prese
Externí odkaz:
https://doaj.org/article/29dc197ca2b34df7b04dd7472d057a49
Autor:
Grivaux Sophie
Publikováno v:
Concrete Operators, Vol 6, Iss 1, Pp 92-105 (2019)
Given a (real or complex, separable) Banach space, and a contraction T on X, we say that T has the Blum-Hanson property if whenever x, y ∈ X are such that Tnx tends weakly to y in X as n tends to infinity, the means
Externí odkaz:
https://doaj.org/article/cef941c3448545f283c7422b1215631b
We introduce and study the notion of orthogonality for two operators in the context of weighted backward shifts on $\ell_p(\mathbb{Z}_+)$, $1\leq p<\infty$. Two continuous linear operators $T_1$ and $T_2$ acting on a Polish topological vector space $
Externí odkaz:
http://arxiv.org/abs/2312.13920
This paper is devoted to the study of typical properties (in the Baire Category sense) of certain classes of continuous linear operators acting on Fr\'echet algebras, endowed with the topology of pointwise convergence. Our main results show that with
Externí odkaz:
http://arxiv.org/abs/2312.08321
Autor:
Badea, Catalin, Grivaux, Sophie
For each integer $n\ge 1$, denote by $T_{n}$ the map $x\mapsto nx\mod 1$ from the circle group $\mathbb{T} = \mathbb{R}/\mathbb{Z}$ into itself. Let $p,q\ge 2$ be two multiplicatively independent integers. Using Baire Category arguments, we show that
Externí odkaz:
http://arxiv.org/abs/2303.01089
We study, for a continuous linear operator $T$ on an F-space $X$, when the direct sum operator $T\oplus T$ is recurrent on $X\oplus X$. In particular: we establish the analogous notion, for recurrence, to that of (topological) weak-mixing for transit
Externí odkaz:
http://arxiv.org/abs/2212.03652
Autor:
Fricain, Emmanuel, Grivaux, Sophie
In this paper, we study the cyclicity problem with respect to the forward shift operator $S_b$ acting on the de Branges--Rovnyak space $\mathscr{H}(b)$ associated to a function $b$ in the closed unit ball of $H^\infty$ and satisfying $\log(1-|b|)\in
Externí odkaz:
http://arxiv.org/abs/2210.15735
If $X$ is a separable reflexive Banach space, there are several natural Polish topologies on $\mathcal{B}(X)$, the set of contraction operators on $X$ (none of which being clearly ``more natural'' than the others), and hence several a priori differen
Externí odkaz:
http://arxiv.org/abs/2207.07938
Publikováno v:
J. Math. Pures Appl., Volume 169, January 2023, Pages 155-188
We study different pointwise recurrence notions for linear dynamical systems from the Ergodic Theory point of view. We show that from any reiteratively recurrent vector $x_0$, for an adjoint operator $T$ on a separable dual Banach space $X$, one can
Externí odkaz:
http://arxiv.org/abs/2203.03027
Autor:
Grivaux, Sophie, Matheron, Étienne
We study some local spectral properties of contraction operators on $\ell_p$, $1
Externí odkaz:
http://arxiv.org/abs/2105.04635