Author:
Aron R.,Boyd C.,Choi Y. S.
Abstract
AbstractWe 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∈).
Publisher
Cambridge University Press (CUP)
Reference17 articles.
1. Extension of multilinear mappings on Banach spaces
2. [12] Kirwan P. , Complexification of multilinear and polynomial mappings on normed spaces (Ph.D. Thesis, National University of Ireland, Galway, 1997).
3. On the weak continuity of the polynomial functionals on the spaces c0;Bogdanowicz;Bull. Acad. Polon. Sci. Sér. Math. Astronom. Phys.,1957
4. A uniform algebra of analytic functions on a Banach space
5. Banach subspaces of holomorphic functions and related topics
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