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Results tagged with schur-functions
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user 73780
4
votes
1
answer
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Are the minors of this Hadamard product Schur positive?
Let $h_i (x)$ denote the complete symmetric function of degree $i$ in some set of variables $x = (x_1 , x_2 , \dots)$. Then the minors of the Toeplitz matrix $T (x) = \left(h_{i-j} (x) \right)_{i,j}$ …
- 553
2
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Accepted
Are the minors of this Hadamard product Schur positive?
The answer to this question is no, with a quick counterexample being given by the determinant of the matrix
$$\begin{pmatrix}
h_{2} (x) h_{2} (y) & h_{3} (x) h_{3} (y) & h_{4} (x) h_{4} (y)\\\\
…
- 553