Unique Hahn-Banach theorems for spaces of homogeneous polynomials

Journal of the Australian Mathematical Society

R. Aron¹ 

[1] C. Boyd

关键词: primary 46G25;    46A22;   

DOI  :  10.1017/S1446788700002408

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

We investigate certain norm and continuity conditions that provide us with ‘uniqe Hahn-Banch Theorems’ from (nc0) to (nℓ∞) and from N(nE) to N(nE″). We show that there is a unique norm-preserving extension for norm-attaining 2-homogeneous polynomials on complex c0 to ℓ∈ but there is no unique norm-preserving extension from (3c0) to (3ℓ∈).

【 授权许可】

Unknown