Extreme and exposed points of spaces of integral polynomials

We show that if E is a real Banach space such that E′ has the approximation property and such that ℓ1 → ⊗ n,s,e,E, then the set of extreme points of the unit ball of PI (nE) is equal to {± Φn: Φ ∈ E′ ∥ Φ ∥ = 1}. Under the additional assumption that E′ has a countable norming set, we see that the set...

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Detalles Bibliográficos
Autor principal: Lassalle, Silvia Beatriz
Publicado: 2010
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v138_n4_p1415_Boyd
http://hdl.handle.net/20.500.12110/paper_00029939_v138_n4_p1415_Boyd
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