We introduce the new class of the (p;p1,...,pm; s)-absolutely continuous operators, that is defined using a summability property that provides the multilinear version of the (p, s)-absolutely continuous operators. We give ...

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 ...

Albanese, Angela A.; Bonet Solves, José Antonio; Ricker, Werner J.(Springer-Verlag, 2016)

[EN] A detailed investigation is made of the continuity, the compactness and the spectrum of the Cesàro operator C acting on the weighted Banach sequence space c0(w) for a bounded, strictly positive weight w. New features ...

Albanese, Angela A.; Bonet Solves, José Antonio; Ricker, Werner J.(Springer-Verlag, 2019-02)

[EN] The Banach sequence spaces ces(p) are generated in a specified way via the classical spaces p,1<p<. For each pair 1<p,q< the (p,q)-multiplier operators from ces(p) into ces(q) are known. We determine precisely which ...

Albanese, Angela; Bonet Solves, José Antonio; Ricker, Werner J.(Cambridge University Press, 2015)

[EN] An investigation is made of the continuity, the compactness and the spectrum of the Ces`aro operator C
when acting on the weighted Banach sequence spaces l_p(w), 1 < p < 1, for a positive decreasing weight
w, thereby ...

[EN] Unlike for l(p), 1 < p <= infinity, the discrete Cesaro operator C does not map l(1) into itself. We identify precisely those weights w such that C does map l(1)(w) continuously into itself. For these weights a complete ...