5 papers
A multilinear Zafran theorem for the measure of noncompactness of operators
Mieczyslaw Mastylo, Eduardo Brandani da Silva
We establish a multilinear analogue of Zafran's interpolation theorem for operators acting on products of quasi-Banach spaces generated by the general real methods. We consider mul…
Continuity of asymptotic entropy on free solvable groups
Eduardo Silva
We prove the continuity of asymptotic entropy, as a function of the step distribution, among non-degenerate probability measures with finite Shannon entropy on the free solvable gr…
Asymmetric quantum codes on non-orientable surfaces
Waldir S. Soares, Douglas F. Copatti, Giuliano G. La Guardia +1
In this paper, we construct new families of asymmetric quantum surface codes (AQSCs) over non-orientable surfaces of genus by applying tools of hyperbolic geometry. More…
Interpolation of compact bilinear operators
Mieczysław Mastyło, Eduardo B. Silva
We investigate the stability of compactness of bilinear operators acting on the product of interpolation of Banach spaces. We develop a general framework for such results and our m…
New Young inequalities and applications
Pedro Fernández-Martínez, Eduardo Brandani da Silva
We establish upper bounds for the convolution operator acting between interpolation spaces. This will provide several examples of Young Inequalities in different families of functi…