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pro vyhledávání: '"Puig, Yunied"'
Autor:
Astaiza, Weymar, Barrios, Alexander J., Chimal-Dzul, Henry, Garcia, Stephan Ramon, de la Luz, Jaaziel, Moll, Victor H., Puig, Yunied, Villamizar, Diego
The symmetric tensor power of graphs is introduced and its fundamental properties are explored. A wide range of intriguing phenomena occur when one considers symmetric tensor powers of familiar graphs. A host of open questions are presented, hoping t
Externí odkaz:
http://arxiv.org/abs/2309.13741
We obtain a Disjoint Frequent Hypercyclicity Criterion and show that it characterizes disjoint frequent hypercyclicity for a family of unilateral pseudo-shifts on $c_0(\mathbb{N})$ and $\ell^p(\mathbb{N})$, $1\le p <\infty$. As an application, we cha
Externí odkaz:
http://arxiv.org/abs/2106.01409
Autor:
Martin, Özgür, Puig, Yunied
In this short note, we answer a question of Martin and Sanders [Integr. Equ. Oper. Theory, 85 (2) (2016), 191-220] by showing the existence of disjoint frequently hypercyclic operators which fail to be disjoint weakly mixing and, therefore, fail to s
Externí odkaz:
http://arxiv.org/abs/2102.11961
Autor:
Aksoy, Asuman Guven, Puig, Yunied
We study the injective and surjective hull of operator ideals generated by hypercyclic backward weighted shifts that factor through $\ell^p$.
Comment: 10 pages
Comment: 10 pages
Externí odkaz:
http://arxiv.org/abs/2101.04621
Publikováno v:
In Journal of Functional Analysis 1 July 2022 283(1)
Autor:
Puig, Yunied
Motivated by a question posed by Sophie Grivaux concerning the regularity of the orbits of frequently hypercylic operators, we show the following: for any operator $T$ on a separable metrizable and complete topological vector space $X$ which is both
Externí odkaz:
http://arxiv.org/abs/1703.09172
Autor:
Puig, Yunied
Using a result from ergodic Ramsey theory, we answer a question posed by B\`es, Martin, Peris and Shkarin by showing a mixing operator $T$ on a Hilbert space such that the tuple $(T, T^2)$ is not disjoint transitive.
Comment: arXiv admin note: s
Comment: arXiv admin note: s
Externí odkaz:
http://arxiv.org/abs/1505.00064
Autor:
Puig, Yunied
We extend a result of B\`{e}s, Martin, Peris and Shkarin by stating: $B_w$ is $\mathscr{F}$-weighted backward shift if and only if $(B_w,\dots, B_w^r)$ is $d$-$\mathscr{F}$, for any $r\in \mathbb{N}$, where $\mathscr{F}$ runs along some filters conta
Externí odkaz:
http://arxiv.org/abs/1411.7721
Autor:
Puig, Yunied
Consider $\mathscr{F}$ a non-empty set of subsets of $\mathbb{N}$. An operator $T$ on $X$ satisfies property $\mathcal{P}_{\mathscr{F}}$ if for any $U$ non-empty open set in $X$, there exists $x\in X$ such that $\{n\in\mathbb{N}: T^nx\in U\}\in \math
Externí odkaz:
http://arxiv.org/abs/1411.7729
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