5 papers
On a class of robust nonconvex quadratic optimization problems
F. Flores-Bazán, Y. García, A. Pérez
Let us consider the following robust nonconvex quadratic optimization problem: \begin{equation*} \begin{split} \min &~ \dfrac{1}{2} x^\top Ax+a^\top x \\ \text{s.t.}~ & α\leq\dfrac…
A remark on approximation with polynomials and greedy bases
Pablo M. Berná, Antonio Pérez
We investigate properties of the -th error of approximation by polynomials with constant coefficients and with modulus-constant coefficients $\mathcal{D}_{m…
Operations with slicely countably determined sets
Vladimir Kadets, Antonio Pérez, Dirk Werner
The notion of slicely countably determined (SCD) sets was introduced in 2010 by A.~Avilés, V.~Kadets, M.~Martín, J.~Merí and V.~Shepelska. We solve in the negative some natural que…
Bohr's phenomenon for functions on the Boolean cube
Andreas Defant, Mieczysław Mastyło, Antonio Pérez
We study the asymptotic decay of the Fourier spectrum of real functions in the spirit of Bohr's phenomenon from complex analysis. Every…
Hardy spaces of vector-valued Dirichlet series
Andreas Defant, Antonio Pérez
Given a Banach space and , it is well known that the two Hardy spaces ( the torus) and ( t…