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MR2046564 (2005a:47061) 47B49 (46H20 46L05 47A12)
Bai, Zhaofang; Hou, Jinchuan; Xu, Zongben Maps preserving numerical radius distance on $C\sp *$-algebras. Studia Math. 162 (2004), no. 2, 97--104.
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