Factorization of strongly (p,s)-continuous multilinear operators.

Autores UPV
Revista Linear and Multilinear Algebra


We introduce the new ideal of strongly-continuous linear operators in order to study the adjoints of the (p,s)-absolutely continuous linear operators. Starting from this ideal we build a new multi-ideal by using the composition method. We prove the corresponding Pietsch domination theorem and we present a representation of this multi-ideal by a tensor norm. A factorization theorem characterizing the corresponding multi-ideal ¿ which is also new for the linear case ¿ is given. When applied to the case of the Cohen strongly -summing operators, this result gives also a new factorization theorem.