Calabuig, J. M.; Sánchez Pérez, Enrique Alfonso(Springer-Verlag, 2021-07)
[EN] We provide a new separation-based proof of the domination theorem for (q, 1)-summing operators. This result gives the celebrated factorization theorem of Pisier for (q, 1)-summing operators acting in C(K)-spaces. As ...
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 ...
Jiménez Fernández, Eduardo; Juan Blanco, María Aranzazu; Sánchez Pérez, Enrique Alfonso(Belgian Mathematical Society, 2018)
[EN] Consider an abstract Banach lattice. Under some mild assumptions, it can be identi¿ed with a Banach ideal of integrable functions with respect to a (non necessarily ¿-¿nite) vector measure on a ¿-ring. Extending some ...
Calabuig, J. M.; Rodriguez, J.; Sánchez Pérez, Enrique Alfonso(John Wiley & Sons, 2017)
[EN] We show a picture of the relations among different types of summability of series in the space L-1(m) of integrable functions with respect to a vector measure m of relatively norm compact range. In order to do that, ...