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MR1209304 (94d:58010) 58B20 (46L05 47B15 47D25)
Corach, Gustavo; Porta, Horacio; Recht, Lázaro The geometry of the space of selfadjoint invertible elements in a $C\sp *$-algebra. Integral Equations Operator Theory 16 (1993), no. 3, 333–359.
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