Geometry of integral polynomials, M-ideals and unique norm preserving extensions

We use the Aron-Berner extension to prove that the set of extreme points of the unit ball of the space of integral k-homogeneous polynomials over a real Banach space X is {±φ k:φ∈X *, ||φ||=1}. With this description we show that, for real Banach spaces X and Y, if X is a nontrivial M-ideal in Y, the...

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Detalles Bibliográficos
Autores principales: Dimant, V., Galicer, D., García, R.
Formato: JOUR
Materias:
Aron-Berner extension
Extreme points
Integral polynomials
M-ideals
Symmetric tensor products
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00221236_v262_n5_p1987_Dimant
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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