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MR1628383 (99j:65043) 65F10 (47A50)
Climent, Joan-Josep; Perea, Carmen Some comparison theorems for weak nonnegative splittings of bounded operators. Proceedings of the Sixth Conference of the International Linear Algebra Society (Chemnitz, 1996). Linear Algebra Appl. 275/276 (1998), 77--106.
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