[EN] It is well known that not every summability property for multilinear operators leads to a factorization theorem. In this paper we undertake a detailed study of factorization schemes for summing linear and nonlinear ...
[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 ...
In this paper we study the ideal of dominated
(p,s)-continuous polynomials, that extend
the nowadays well known ideal of
p-dominated polynomials to the more general setting
of the interpolated ideals of polynomials. ...
[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 ...
Achour, D.; Dahia, E.; Rueda, P.; Sánchez Pérez, Enrique Alfonso(Taylor & 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 ...
[EN] A classical result by J. Diestel establishes that the composition of a summing operator with a (strongly measurable) Pettis integrable function gives a Bochner integrable function. In this paper we show that a much ...
Calabuig, J. M.; Rodríguez, J.; Rueda, P.; Sánchez Pérez, Enrique Alfonso(Elsevier, 2018-08)
[EN] Let (Omega, Sigma, mu) be a complete probability space, X a Banach space and 1 <= p < infinity. In this paper we discuss several aspects of p-Dunford in-tegrable functions f : Omega->X. Special attention is paid to ...
[EN] Operators T that belong to some summing operator ideal, can be characterized by means of the continuity of an associated tensor operator T that is de¿ned between tensor products of sequences spaces. In this paper we ...
[EN] We show a Dvoretzky-Rogers type theorem for the adapted version of the q-summing operators to the topology of the convergence of the vector valued integrals on Banach function spaces. In the pursuit of this objective ...
[EN] Using a general tensor norm approach, our aim is to show that some distinguished classes of summing operators can be characterized by means of an 'order reduction' procedure for multiple summing multilinear operators, ...