Unique Hahn-Banach theorems for spaces of homogeneous polynomials

Authors
Aron, R Boyd, C Choi, YS
Citation
R. Aron et al., Unique Hahn-Banach theorems for spaces of homogeneous polynomials, J AUS MAT A, 70, 2001, pp. 387-400
Citations number
17
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS
ISSN journal
02636115 → ACNP
Volume
70
Year of publication
2001
Part
3
Pages
387 - 400
Database
ISI
SICI code
0263-6115(200106)70:<387:UHTFSO>2.0.ZU;2-4
Abstract
We investigate certain norm and continuity conditions that provide us with 'unique Hahn-Banach Theorems' from P((n)c(0)) to P((n)l(infinity)) and from P-N(E-n) to P(E-n "). We show that there is a unique norm-preserving exten sion for norm-attaining 2-homogeneous polynomials on complex co to a, but t here is no unique norm-presenting extension from P((3)c(0)) to P((3)l(infin ity)).