[HTML][HTML] Recurrence properties for linear dynamical systems: an approach via invariant measures
S Grivaux, A López-Martínez - Journal de Mathématiques Pures et …, 2023 - Elsevier
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 …
Ergodic Theory point of view. We show that from any reiteratively recurrent vector x 0, for an …
Typical properties of positive contractions and the invariant subspace problem
V Gillet - arXiv preprint arXiv:2409.14481, 2024 - arxiv.org
In this paper, we first study some elementary properties of a typical positive contraction on
$\ell_q $ for the Strong Operator Topology and the Strong* Operator Topology. Using these …
$\ell_q $ for the Strong Operator Topology and the Strong* Operator Topology. Using these …
Typicality of operators on Fr\'echet algebras admitting a hypercyclic algebra
W Alexandre, C Gilmore, S Grivaux - arXiv preprint arXiv:2312.08321, 2023 - arxiv.org
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 …
certain classes of continuous linear operators acting on Fr\'echet algebras, endowed with …
Local Spectral Properties of Typical Contractions on ℓp-Spaces
S Grivaux, É Matheron - Analysis Mathematica, 2022 - Springer
We study some local spectral properties of contraction operators on ℓ p, 1< p<∞ from a
Baire category point of view, with respect to the Strong* Operator Topology. In particular, we …
Baire category point of view, with respect to the Strong* Operator Topology. In particular, we …
Generic properties of l_p-contractions and similar operator topologies
S Grivaux, E Matheron, Q Menet - arXiv preprint arXiv:2207.07938, 2022 - arxiv.org
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 …
$\mathcal {B}(X) $, the set of contraction operators on $ X $(none of which being …
Interpolation and non-dilatable families of -semigroups
R Dahya - Banach Journal of Mathematical Analysis, 2024 - Springer
We generalise a technique of Bhat and Skeide (J Funct Anal 269: 1539–1562, 2015) to
interpolate commuting families {S i} i∈ I of contractions on a Hilbert space H, to commuting …
interpolate commuting families {S i} i∈ I of contractions on a Hilbert space H, to commuting …
Similar operator topologies on the space of positive contractions
V Gillet - arXiv preprint arXiv:2412.11587, 2024 - arxiv.org
In this article, we study the similarity of the Polish operator topologies $\texttt {WOT} $, $\texttt
{SOT} $, $\texttt {SOT}\mbox {$ _ {*} $} $ and $\texttt {SOT}\mbox {$^{*} $} $ on the set of the …
{SOT} $, $\texttt {SOT}\mbox {$ _ {*} $} $ and $\texttt {SOT}\mbox {$^{*} $} $ on the set of the …
On the complete metrisability of spaces of contractive semigroups
R Dahya - Archiv der Mathematik, 2022 - Springer
The space of unitary C 0-semigroups on a separable infinite-dimensional Hilbert space,
when viewed under the topology of uniform weak operator convergence on compact subsets …
when viewed under the topology of uniform weak operator convergence on compact subsets …