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Al2: Algebra
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$K$-Positivity Preserver of Matrix Polynomials University of Konstanz, Germany We present the local and the general matrix moment problem. We then give a generalization of a theorem by Borcea to characterize local matrix moment sequences using linear operators $T: \mathrm{Herm}_m \otimes \mathbb{R}[x_1, \dots, x_n] \to \mathrm{Herm}_m \otimes \mathbb{R}[x_1, \dots, x_n]$ on matrix polynomials that preserve positive semi-definiteness. On compact sets, the local and general matrix moment problem coincide, hence we obtain a characterization of general matrix moment sequences. Discussion Discussion | ||
