On Characterizations of the Space of <i>p</i>-Semi-Integral Multilinear Mappings
NOTE DI MATEMATICA, no.1, pp.165-184, 2009 (ESCI, Scopus)
- Publication Type: Article / Article
- Publication Date: 2009
- Doi Number: 10.1285/i15900932v29n1p165
- Journal Name: NOTE DI MATEMATICA
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
- Page Numbers: pp.165-184
- Keywords: Ρ-semi integral multilinear mappings, Tensor product of Banach spaces
- Istanbul University Affiliated: No
Abstract
In this paper we consider the ideal of p-semi-integral n-linear mappings, which is a natural multilinear extension of the ideal of p-summing linear operators. The space of p-semi-integral multilinear mappings is characterized by means of a suitable tensor norm up to an isometric isomorphism. In this connection we also consider tensor products of linear operators and multilinear mappings of finite type.