Nuclear and integral polynomials

Journal of the Australian Mathematical Society

Raffaella Cilia¹ 

[1] Joaquín M. Gutiérrez

关键词: primary 46G25;    secondary 46B20;    47H60;   

DOI  :  10.1017/S1446788700008946

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Let E be a Banach space whose dual E* has the approximation property, and let m be an index. We show that E* has the Radon-Nikodým property if and only if every m-homogeneous integral polynomial from E into any Banach space is nuclear. We also obtain factorization and composition results for nuclear polynomials.

【 授权许可】

Unknown