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- W2899673631 abstract "Given two $m times n $ matrices $A = (a_{ij})$ and $B=(b_{ij}) $ with entries in $B(H)$ for some Hilbert space $H,$ the Schur block product is the $m times n$ matrix $ Asquare B := (a_{ij}b_{ij}).$ There exists an $m times n$ matrix $S = (s_{ij})$ with entries from $B(H)$ such that $S$ is a contraction operator and $$ A square B = big(mathrm{diag}(AA^*)big)^{frac{1}{2}}Sbig(mathrm{diag}(B^*B)big)^{frac{1}{2}}.$$ This decomposition of the Schur product seems to be unknown, even for scalar matrices." @default.
- W2899673631 created "2018-11-16" @default.
- W2899673631 creator A5056562596 @default.
- W2899673631 date "2018-11-08" @default.
- W2899673631 modified "2023-09-27" @default.
- W2899673631 title "A decomposition of the Schur block product on matrices of operators" @default.
- W2899673631 hasPublicationYear "2018" @default.
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