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arXiv · 1407.1564

Thompson's theorem for II_1 factors

Matthew Kennedy·Paul Skoufranis
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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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Matthew Kennedy, Paul Skoufranis. 2014-07-07. Thompson's theorem for II_1 factors. https://doi.org/10.1090/tran%2F6711

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