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- W2076062141 abstract "The main result of this paper is the extension of the Schur–Horn Theorem to infinite sequences: For two nonincreasing nonsummable sequences ξ and η that converge to 0, there exists a positive compact operator A with eigenvalue list η and diagonal sequence ξ if and only if ∑j=1nξj⩽∑j=1nηj for every n if and only if ξ=Qη for some orthostochastic matrix Q. When ξ and η are summable, requiring additionally equality of their infinite series obtains the same conclusion, extending a theorem by Arveson and Kadison. Our proof depends on the construction and analysis of an infinite product of T-transform matrices." @default.
- W2076062141 created "2016-06-24" @default.
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- W2076062141 date "2010-12-01" @default.
- W2076062141 modified "2023-09-28" @default.
- W2076062141 title "An infinite dimensional Schur–Horn Theorem and majorization theory" @default.
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- W2076062141 doi "https://doi.org/10.1016/j.jfa.2010.08.018" @default.
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