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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$\begingroup$ Do you want positive self-adjoint operators? I assume you want extreme rays, not only extreme points? I suspect that rank one projections might be the answer. $\endgroup$– Mateusz WasilewskiCommented Jun 25, 2018 at 9:13
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$\begingroup$ @MateuszWasilewski Thanks, I have corrected this. $\endgroup$– BazinCommented Jun 25, 2018 at 12:15
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