Výsledky vyhledávání - "Fávaro, Vinícius V."

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Generalized Hyperbolicity, Stability and Expansivity for Operators on Locally Convex Spaces

Autor: Bernardes Jr., Nilson C., Caraballo, Blas M., Darji, Udayan B., Fávaro, Vinícius V., Peris, Alfred

We introduce and study the notions of (generalized) hyperbolicity, topological stability and (uniform) topological expansivity for operators on locally convex spaces. We prove that every generalized hyperbolic operator on a locally convex space has t

Externí odkaz: http://arxiv.org/abs/2403.02843

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Akademický článek

Generalized hyperbolicity, stability and expansivity for operators on locally convex spaces

Autor: Bernardes, Nilson C., Jr., Caraballo, Blas M., Darji, Udayan B., Fávaro, Vinícius V., Peris, Alfred

Publikováno v: In Journal of Functional Analysis 15 January 2025 288(2)

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Chaos in convolution operators on the space of entire functions of infinitely many complex variables

Autor: Caraballo, Blas M., Fávaro, Vinícius V.

A classical result of Godefroy and Shapiro states that every nontrivial convolution operator on the space $\mathcal{H}(\mathbb{C}^n)$ of entire functions of several complex variables is hypercyclic. In sharp contrast with this result F\'avaro and Muj

Externí odkaz: http://arxiv.org/abs/1806.07413

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Hypercyclicity, existence and approximation results for convolution operators on spaces of entire functions

Autor: Fávaro, Vinícius V., Jatobá, Ariosvaldo M.

In this work we shall prove new results on the theory of convolution operators on spaces of entire functions. The focus is on hypercyclicity results for convolution operators on spaces of entire functions of a given type and order; and existence and

Externí odkaz: http://arxiv.org/abs/1805.10316

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Akademický článek

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Lineability and spaceability for the weak form of Peano's theorem and vector-valued sequence spaces

Autor: Barroso, Cleon, Botelho, Geraldo, Fávaro, Vinícius V., Pellegrino, Daniel

Publikováno v: Proceedings of the American Mathematical Society, v. 141, p. 1913-1923, 2013

Two new applications of a technique for spaceability are given in this paper. For the first time this technique is used in the investigation of the algebraic genericity property of the weak form of Peano's theorem on the existence of solutions of the

Externí odkaz: http://arxiv.org/abs/1105.2845

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