Coincidence of extendible vector-valued ideals with their minimal kernel
We provide coincidence results for vector-valued ideals of multilinear operators. More precisely, if A is an ideal of n-linear mappings we give conditions for which the equality A (E1, ..., En ; F) = Amin (E1, ..., En ; F) holds isometrically. As an application, we obtain in many cases that the mono...
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | INPR |
| Materias: | |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_0022247X_v_n_p_Galicer |
| Aporte de: |
| Sumario: | We provide coincidence results for vector-valued ideals of multilinear operators. More precisely, if A is an ideal of n-linear mappings we give conditions for which the equality A (E1, ..., En ; F) = Amin (E1, ..., En ; F) holds isometrically. As an application, we obtain in many cases that the monomials form a Schauder basis of the space A (E1, ..., En ; F). Several structural and geometric properties are also derived using this equality. We apply our results to the particular case where A is the classical ideal of extendible or Pietsch-integral multilinear operators. Similar statements are given for ideals of vector-valued homogeneous polynomials. © 2014 Elsevier Inc. All rights reserved. |
|---|