On the Nonexistence of Sum of Squares Certificates for the Bmv Conjecture
نویسندگان
چکیده
The algebraic reformulation of the BMV conjecture is equivalent to a family of dimensionfree tracial inequalities involving positive semidefinite matrices. Sufficient conditions for these to hold in the form of algebraic identities involving polynomials in noncommuting variables have been given by Markus Schweighofer and the second author. Later the existence of these certificates has been settled for all but one case, which is resolved in this short note.
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تاریخ انتشار 2009