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- W1569111458 abstract "We present tracial analogs of the classical results of Curto and Fialkow on moment matrices. A sequence of real numbers indexed by words in non-commuting variables with values invariant under cyclic permutations of the indexes, is called a tracial sequence. We prove that such a sequence can be represented with tracial moments of matrices if its corresponding moment matrix is positive semidefinite and of finite rank. A truncated tracial sequence allows for such a representation if and only if one of its extensions admits a flat extension. Finally, we apply the theory via duality to investigate trace-positive polynomials in non-commuting variables." @default.
- W1569111458 created "2016-06-24" @default.
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- W1569111458 date "2012-01-01" @default.
- W1569111458 modified "2023-10-14" @default.
- W1569111458 title "The truncated tracial moment problem" @default.
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