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Is it known what the set of all extreme points of $B(L^p(\mathbb{R}_+))$ (bounded operators on $L^p(\mathbb{R}_+)$) is?

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  • $\begingroup$ The paper R. Grząślewicz, Extreme operators on 2-dimensional $\ell_p$-spaces. Colloq. Math. 44, 309-315 (1981), Zbl 0475.47028, appears to be the first attempt at this problem. I don't know about higher dimensions, let alone $L_p(\mathbb R_+)$. $\endgroup$
    – Dirk Werner
    Commented Mar 24, 2022 at 19:28

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