[EN] We study extendibility of diagonal multilinear operators from l(p) to l(p) spaces. We determine the values of and for which every diagonal -linear operator is extendible, and those for which the only extendible ones ...
Carando, Daniel; Dimant, Veronica; Sevilla Peris, Pablo(Institute of Mathematics, Polish Academy of Sciences, 2009)
[EN] We establish Holder-type inequalities for Lorentz sequence spaces and their duals. In order to achieve these and some related inequalities, we study diagonal multilinear forms in general sequence spaces, and obtain ...
[EN] We prove that the Hermite functions are an absolute Schauder basis for many global weighted spaces of ultradifferentiable functions in the matrix weighted setting and we determine also the corresponding coefficient ...
[EN] In this paper, we introduce inductive limits of the Fr & eacute;chet spaces l (p+), ces(p+),andd(p+)(1 <= p<infinity) and projective limits of the (LB)-spaces l(p-), ces(p-),andd(p-)(1<p <=infinity). After having ...
Dimant, Verónica; Sevilla Peris, Pablo(Universitat Autonoma de Barcelona, 2016)
[EN] We investigate the summability of the coefficients of m-homogeneous polynomials and m-linear mappings defined on l(p) spaces. In our research we obtain results on the summability of the coefficients of m-linear mappings ...