Extreme and Exposed Points of Spaces of Integral Polynomials
نویسندگان
چکیده
We show that if E is a real Banach space such that E′ has the approximation property and such that `1 6↪→ ⊗̂ n,s, E then the set of extreme points of the unit ball of PI(E) is equal to {±φn : φ ∈ E′, ‖φ‖ = 1}. Under the additional assumption that E′ has a countable norming set we see that the set of exposed points of the unit ball of PI(E) is also equal to {±φn : φ ∈ E′, ‖φ‖ = 1}.
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