The Duality between Ideals of Multilinear Operators and Tensor Norms

Autor:	García-Hernández, Samuel
Rok vydání:	2018
Předmět:	Mathematics - Functional Analysis 47L22 46M05 46G25 46B28 47B10
Druh dokumentu:	Working Paper
Popis:	We develop the duality theory between ideals of multilinear operators and tensor norms that arises from the geometric approach of $\Sigma$-operators. To this end, we introduce and develop the notions of $\Sigma$-ideals of multilinear operators and $\Sigma$-tensor norms. We establish the foundations of this theory by proving a representation theorem for maximal $\Sigma$-ideals of multilinear operators by finitely generated $\Sigma$-tensor norms and a duality theorem for $\Sigma$-tensor norms. For these notions we also develop basic theory and present concrete examples. Comment: 19 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1812.00114 Zobrazit plný text záznamu View this record from Arxiv