5 citations · 9 across the 10 of their papers we have counts for
11 papers
On hypercyclic and (common) upper frequently hypercyclic subspaces
Nacib G. Albuquerque, Thiago R. Alves, Geraldo Botelho +1
Let be a unilateral weighted backward shift on , , that admits a -frequently hypercyclic subspace. We prove that admits such a subsp…
Complex symmetry of linear fractional composition operators on a half-plane
V. V. Fávaro, P. V. Hai, O. R. Severiano
We investigate the bounded composition operators induced by linear fractional self-maps of the right half-plane on the Hardy space We completely…
Composition operators on Hardy-Smirnov spaces
V. V. Fávaro, P. V. Hai, D. M. Pellegrino +1
We investigate composition operators on the Hardy-Smirnov space induced by analytic self-maps of an open simply connected proper subset of the complex plan…
Spaceability of the sets of surjective and injective operators between sequence spaces
Diogo Diniz, Vinícius Fávaro, Daniel Pellegrino +1
We investigate algebraic structures within sets of surjective and injective linear operators between sequence spaces, completing results of Aron et al.
Chaos in convolution operators on the space of entire functions of infinitely many complex variables
Blas M. Caraballo, Vinícius V. Fávaro
A classical result of Godefroy and Shapiro states that every nontrivial convolution operator on the space of entire functions of several complex variabl…
Hypercyclicity, existence and approximation results for convolution operators on spaces of entire functions
Vinícius V. Fávaro, Ariosvaldo M. Jatobá
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 sp…
Mixing convolution operators on spaces of entire functions
V. V. Fávaro, J. Mujica
We show that if is an arbitrary -space, then every nontrivial convolution operator on the Fréchet nuclear space is mixing, in particular hypercyclic. Mo…
Polynomial and multilinear Hardy--Littlewood inequalities: analytical and numerical approaches
J. Campos, W. Cavalcante, V. Fávaro +3
We investigate the growth of the polynomial and multilinear Hardy--Littlewood inequalities. Analytical and numerical approaches are performed and, in particular, among other result…
Maximal spaceability in topological vector spaces
Geraldo Botelho, Daniel Cariello, Vinícius Fávaro +1
In this paper we introduce a new technique to prove the existence of closed subspaces of maximal dimension inside sets of topological vector sequence spaces. The results we prove c…
Lineability and spaceability for the weak form of Peano's theorem and vector-valued sequence spaces
Cleon Barroso, Geraldo Botelho, Vinícius V. Fávaro +1
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…
Hypercyclicity of convolution operators on spaces of entire functions
F. J. Bertoloto, G. Botelho, V. V. Fávaro +1
In this paper we use Nachbin's holomorphy types to generalize some recent results concerning hypercyclic convolution operators on Fréchet spaces of entire functions of bounded type…