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- Title
Unique Hahn-Banach theorems for spaces of homogeneous polynomials.
- Authors
Aron, R.; Boyd, C.; Choi, Y. S.
- Abstract
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∈).
- Publication
Journal of the Australian Mathematical Society, 2001, Vol 70, Issue 3, p387
- ISSN
1446-7887
- Publication type
Article
- DOI
10.1017/S1446788700002408