Diagonal multilinear operators on Köthe sequence spaces

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 sequenc...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Dimant, V., Villafañe, R.
Formato: JOUR
Materias:
46A45
47H60
47L22
diagonal multilinear operators
Köthe sequence spaces
Multilinear ideals
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03081087_v67_n2_p248_Dimant
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario: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. © 2017, © 2017 Informa UK Limited, trading as Taylor & Francis Group.

Ejemplares similares