Thompson’s theorem for 𝐼𝐼₁ factors

Kennedy, Matthew; Skoufranis, Paul

doi:10.1090/tran/6711

Thompson’s theorem for $\mathrm {II}_1$ factors
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by Matthew Kennedy and Paul Skoufranis PDF

Trans. Amer. Math. Soc. 369 (2017), 1495-1511 Request permission

Abstract:

A theorem of Thompson provides a non-self-adjoint variant of the classical Schur-Horn theorem by characterizing the possible diagonal values of a matrix with given singular values. We prove an analogue of Thompson’s theorem for II$_1$ factors.

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