Título inglés |
Fully absolutely summing and Hilbert-Schmidt multilinear mappings. |
Título español |
Aplicaciones completa y absolutamente sumantes y aplicaciones multilineales de Hilbert-Schmidt. |
Autor/es |
Matos, Mário C. |
Organización |
IMECC Univ. Est. Campinas (UNICAMP), Campinas, Brasil |
Revista |
0010-0757 |
Publicación |
2003, 54 (2): 111-136, 15 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
The space of the fully absolutely (r;r1,...,rn)-summing n-linear mappings between Banach spaces is introduced along with a natural (quasi-)norm on it. If r,rk C [1,+infinite], k=1,...,n, this space is characterized as the topological dual of a space of virtually nuclear mappings. Other examples and properties are considered and a relationship with a topological tensor product is stablished. For Hilbert spaces and r = r1 = ... = rn C [2,+infinite[ this space is isomorphic to the space of the Hilbert-Schmidt multilinear mappings. |
Clasificación UNESCO |
120201 |
Palabras clave español |
Operador absolutamente sumante ; Aplicación multilineal ; Espacios de Banach |
Código MathReviews |
MR1995136 |
Código Z-Math |
Zbl 1078.46031 |
Acceso al artículo completo |