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Bazin
Bazin
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Let $\mathcal B_+$ be the convex cone of bounded non-negative self-adjoint operators on $L^2(\mathbb R)$. With the perspective of applying Choquet's Theorem, I would like to know if the extreme points of $\mathcal B_+$ are known or studied somewhere ?

Let $\mathcal B_+$ be the convex cone of bounded self-adjoint operators on $L^2(\mathbb R)$. With the perspective of applying Choquet's Theorem, I would like to know if the extreme points of $\mathcal B_+$ are known or studied somewhere ?

Let $\mathcal B_+$ be the convex cone of bounded non-negative self-adjoint operators on $L^2(\mathbb R)$. With the perspective of applying Choquet's Theorem, I would like to know if the extreme points of $\mathcal B_+$ are known or studied somewhere ?

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Bazin
Bazin
  • 16.2k
  • 32
  • 66

Choquet Theorem for the cone of non-negative operators

Let $\mathcal B_+$ be the convex cone of bounded self-adjoint operators on $L^2(\mathbb R)$. With the perspective of applying Choquet's Theorem, I would like to know if the extreme points of $\mathcal B_+$ are known or studied somewhere ?