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Convolution-continuous bilinear operators acting on Hilbert spaces of integrable functions

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 ...
Regular methods of summability and the weak sigma-Fatou property in abstract Banach lattices of integrable functions

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 ...
Summability in L-1 of a vector measure

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, ...

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