In this paper, a simultaneous canonical form of a pair of rectangular complex matrices is developed. Using this new tool we give a necessary and sufficient condition to assure that the reverse order law is valid for the ...
Garcia-Raffi, L. M.; Sánchez-Pérez, E.A.(Universitat Politècnica de València, 2005-10-01)
[EN] Using compactness properties of bounded subsets of spaces of vector measure integrable functions and a representation theorem for q-convex Banach lattices, we prove a domination theorem for operators between Banach ...
Calabuig, J. M.; Fernández-Unzueta, M.; Galaz-Fontes, F.; Sánchez Pérez, Enrique Alfonso(Springer-Verlag, 2019-10)
[EN] Given s-finite measure spaces ( 1, 1, mu 1) and ( 2, 2, mu 2), we consider Banach spaces X1(mu 1) and X2(mu 2), consisting of L0(mu 1) and L0(mu 2) measurable functions respectively, and study when the completion of ...
García Ariza, Alexis Paolo; Rubio Arjona, Lorenzo(Institute of Electrical and Electronics Engineers (IEEE), 2011-10)
Under realistic propagation conditions in multiple-input-multiple-output (MIMO) wireless channels, some experimental (measured) full-spatial-correlation (FSC) MIMO channel matrices may not be positive definite, especially ...
Erdogan, Ezgi; Calabuig, J. M.; Sánchez Pérez, Enrique Alfonso(Duke University Press, 2018)
[EN] We study bilinear operators acting on a product of Hilbert spaces of integrable functions¿zero-valued for couples of functions whose convolution equals zero¿that we call convolution-continuous bilinear maps. We prove ...
López Ribes, Jorge(Universitat Politècnica de València, 2018-10-22)
[ES] En este trabajo de fin de grado se realiza la implementación de un algoritmo
para criptoanalizar de forma paralela sistemas RSA. Para ello se ha realizado un
repaso de distintos algoritmos de factorización existentes, ...
[EN] We study multilinear operators from quasi-Banach lattices to quasi-Banach spaces. We prove
that certain vector valued norm inequalities for these operators are equivalent to domination
theorems. As an application ...
[EN] We present a vector valued duality between factorable (q,p)-summing polynomials and (q,p)-summing linear operators on symmetric tensor products of Banach spaces. Several applications are provided. First, we prove a ...
[EN] Let (X,d) be a pointed metric space. Let T : X ¿ Y1(µ) and S : X ¿ Y2(µ) be two Lipschitz operators into two Banach function spaces Y1 and Y2 over the same finite measure µ. We show which are the vector norm inequalities ...
Mastylo, M.; Sánchez Pérez, Enrique Alfonso(Springer-Verlag, 2017-10)
[EN] We study factorization of operators between quasi-Banach spaces. We prove the equivalence between certain vector norm inequalities and the factorization of operators through Orlicz spaces. As a consequence, we obtain ...
Calabuig, J. M.; Rodríguez, José; Sánchez Pérez, Enrique Alfonso(Cambridge University Press, 2017-12)
[EN] We analyze domination properties and factorization of operators in Banach spaces through subspaces of L1-spaces. Using vector measure integration and extending classical arguments based on scalar integral bounds, we ...
Achour, D.; Dahia, E.; Rueda, P.; Sánchez Pérez, Enrique Alfonso(Taylor &amp; Francis: STM, Behavioural Science and Public Health Titles, 2014-12)
We introduce the new ideal of strongly-continuous linear operators in order to study the adjoints of the -absolutely continuous linear operators. Starting from this ideal we build a new multi-ideal by using the composition ...
Bonet Solves, José Antonio; Wright, J.D. Maitland(Mathematical Society of Serbia, 2012-12)
[EN] In this note we show that weakly compact operators from a Banach space X into
a complete (LB)-space E need not factorize through a reflexive Banach space. If E is a Fréchet space, then weakly compact operators from ...
Mastylo, M.; Sánchez Pérez, Enrique Alfonso(International Press, 2020)
[EN] Two new classes of summing multilinear operators, factorable (q,p)-summing operators and (r;p,q)-summing operators are studied. These classes are described in terms of factorization. It is shown that operators in the ...
[EN] We show a factorization through Lorentz spaces for Banach-space-valued operators defined in Banach function spaces. Although our results are inspired in the classical factorization theorem for operators from Ls-spaces ...
Consider an operator T : X--->Y between Banach function
spaces having adequate order continuity and Fatou properties.
Assume that T can be factorized through a Banach space as T =SR,
where R and the adjoint of S are ...
García Herrero, Francisco Miguel; Valls Coquillat, Javier; Meher, P. K.(Springer Verlag (Germany), 2011-12)
Algebraic Soft-Decision Decoding (ASD) of Reed-Solomon (RS) codes provides higher coding gain over the conventional hard-decision decoding (HDD), but involves high computational complexity. Among the existing ASD methods, ...
We characterize by means of a vector norm inequality the space of operators that factorize through a p-summing operator from anLr-space to an Ls-space. As an application, we prove a domination result in the sense of ...
[EN] The main purpose of this paper is the study of a new class of summing mul-tilinear operators acting from the product of Banach lattices with some nontrivial lattice convexity. A mixed Pietsch-Maurey-Rosenthal type ...