A graph-theoretic remark on Stieltjes moment sequences

Bryan Park

For any integer $k\ge 1,$ define $L_k:{\mathbb{R}}^{\mathbb{N}}\to {\mathbb{R}}^{\mathbb{N}}$ by $(a_n{)}_{n\in \mathbb{N}}\mapsto (a_n^{\prime }{)}_{n\in \mathbb{N}}$ where $a'_n=\det(a_{n+i+j})_{i,j=…