info:eu-repo/semantics/article
Diagonal multilinear operators on Köthe sequence spaces
Fecha
2019-02Registro en:
Dimant, Veronica Isabel; Villafañe, Norberto Román; Diagonal multilinear operators on Köthe sequence spaces; Taylor & Francis Ltd; Linear And Multilinear Algebra; 67; 2; 2-2019; 248-266
0308-1087
CONICET Digital
CONICET
Autor
Dimant, Veronica Isabel
Villafañe, Norberto Román
Resumen
We analyse the interplay between maximal/minimal/adjoint ideals of multilinear operators (between sequence spaces) and their associated Köthe sequence spaces. We establish relationships with spaces of multipliers and apply these results to describe diagonal multilinear operators from Lorentz sequence spaces. We also define and study some properties of the ideal of (E, p)-summing multilinear mappings, a natural extension of the linear ideal of absolutely (E, p)-summing operators.