13 citations · 52 across the 12 of their papers we have counts for
14 papers
SOT-large subspaces of non-cyclic operators
N. G. Albuquerque, G. Araújo, L. Bernal-González +2
In this paper, we consider the strong operator topology (SOT) on the space of continuous linear operators on an infinite-dimensional Fréchet space . The existe…
A Levin-Milman theorem for Young variation
N. G. Albuquerque, D. Bugajewska, E. Demétrio +1
In 1940, Levin\footnotemark[1] and Milman proved that a closed linear subspace of whose elements all have bounded Jordan variation must be finite-dimensional. We prove its…
Large structures within the class of summing operators
Nacib Gurgel Albuquerque, Lindinês Coleta
We investigate lineability/spaceability problems within the setting of multilinear summing operators on quasi-Banach sequence spaces. Furthermore, we deal with the contemporary geo…
A summability principle and applications
Nacib Albuquerque, Gustavo Araújo, Lisiane Rezende +1
This paper investigates summability principles for multilinear summing operators. The main result presents a novel inclusion theorem for a class of summing operators, which general…
Asymptotic estimates for unimodular multilinear forms with small norms on sequence spaces
Nacib Gurgel Albuquerque, Lisiane Rezende
The existence of unimodular forms with small norms on sequence spaces is crucial in a variety of problems in modern analysis. We prove that the infimum of $\left\Vert A\right\Vert…
Anisotropic Regularity Principle in sequence spaces and applications
Nacib Albuquerque, Lisiane Rezende
We refine a recent technique introduced by Pellegrino, Santos, Serrano and Teixeira and prove a quite general anisotropic regularity principle in sequence spaces. As applications w…
Some applications of the Hölder inequality for mixed sums
Nacib Albuquerque, Tony Nogueira, Daniel Nunez-Alarcon +2
We use the Hölder inequality for mixed exponents to prove some optimal variants of the generalized Hardy--Littlewood inequality for -linear forms on spaces with mixe…
A note on multiple summing operators and applications
N. Albuquerque, G Araujo, D. Pellegrino +1
We prove a new result on multiple summing operators and among other applications, we provide a new extension of Littlewood's inequality to -linear forms.
Hölder's inequality: some recent and unexpected applications
N. Albuquerque, G. Araujo, D. Pellegrino +1
Hölder's inequality, since its appearance in 1888, has played a fundamental role in Mathematical Analysis and it is, without any doubt, one of the milestones in Mathematics. It may…
On summability of multilinear operators and applications
N. Albuquerque, G. Araujo, W. V. Cavalcante +4
This paper has two clear motivations: a technical and a practical. The technical motivation unifies in a single and crystal clear formulation a huge family of inequalities that hav…
Peano curves on topological vector spaces
N. Albuquerque, L. Bernal-Gonzalez, D. Pellegrino +1
The starting point of this paper is the existence of Peano curves, that is, continuous surjections mapping the unit interval onto the unit square. From this fact one can easily con…
Optimal Hardy-Littlewood type inequalities for polynomials and multilinear operators
Nacib Albuquerque, Frédéric Bayart, Daniel Pellegrino +1
In this paper we obtain quite general and definitive forms for Hardy-Littlewood type inequalities. Moreover, when restricted to the original particular cases, our approach provides…
Sharp generalizations of the multilinear Bohnenblust--Hille inequality
N. Albuquerque, F. Bayart, D. Pellegrino +1
We prove that the multilinear Bohnenblust--Hille is a particular case of a quite general family of optimal inequalities.
Maximal lineability of the set of Continuous Surjections
Nacib Gurgel Albuquerque
Let be positive integers. In this short note we prove that the set of all continuous and surjective functions from to contains (excluding th…