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Collins, Benoît; Dykema, Kenneth J.

A nonconvex asymptotic quantum Horn body. (English) Zbl 1257.15013

New York J. Math. 17, 437-444 (2011).
Summary: We prove by a counterexample that asymptotic quantum Horn bodies (cf. [A. Horn, Pac. J. Math. 12, 225–241 (1962; Zbl 0112.01501)]) are not convex in general.

Cited in 1 Document

MSC:

15A42 Inequalities involving eigenvalues and eigenvectors
46L10 General theory of von Neumann algebras

Keywords:

quantum Horn problem; convexity; Connes embedding problem; eigenvalue inequalities

Citations:

Zbl 0112.01501
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