On symmetric ideals of multilinear mappings between Banach spaces

Journal of the Australian Mathematical Society

Geraldo Botelho¹ 

[1] Daniel M. Pellegrino

关键词: primary 46G25;    secondary 47B10;   

DOI  :  10.1017/S1446788700014683

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

In this paper we provide examples and counterexamples of symmetric ideals of multilinear mappings between Banach spaces and prove that if I1, …, In are operator ideals, then the ideals of multilinear mappings L(I1, …, In) and /I1, …, In/ are symmetric if and only if I1 = … = In.

【 授权许可】

Unknown