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MR1810103 (2003a:47011) 47A12 (15A60 47A20)
Okubo, Kazuyoshi; Spitkovsky, Ilya On the characterization of $2\times 2$ $\rho$-contraction matrices. Linear Algebra Appl. 325 (2001), no. 1-3, 177--189.
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