4 citations · 6 across the 5 of their papers we have counts for
5 papers · 1 filter
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…
Geometric spaceability in sequence classes and operator ideals
Nacib G. Albuquerque, Jamilson R. Campos, Luiz Felipe P. Sousa
This paper investigates advanced notions of lineability and spaceability within the frameworks of sequence spaces and operator ideals. We propose the notion of \emph{Standard Seque…
Optimal Hardy--Littlewood inequalities uniformly bounded by a universal constant
N. Albuquerque, G. Araújo, M. Maia +3
The Hardy--Littlewood inequality for -linear forms on spaces and asserts that \begin{equation*} \left( \sum_{j_{1},...,j_{m}=1}^{\infty }\left\vert T\le…
A subexponential vector-valued Bohnenblust-Hille type inequality
N. Albuquerque, D. Núñez-Alarcón, D. M. Serrano-Rodríguez
Bayart, Pellegrino and Seoane recently proved that the polynomial Bohnenblust--Hille inequality for complex scalars is subexponential. We show that a vector valued polynomial Bohne…
Absolutely summing multilinear operators via interpolation
N. Albuquerque, D. Núñez-Alarcón, J. Santos +1
We use an interpolative technique from \cite{abps} to introduce the notion of multiple -separately summing operators. Our approach extends and unifies some recent results; for i…