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http://dx.doi.org/10.4134/JKMS.2010.47.2.363

THE GENERALIZED INVERSES A(1,2)T,S OF THE ADJOINTABLE OPERATORS ON THE HILBERT C^*-MODULES  

Xu, Qingxiang (Department of Mathematics, Shanghai Normal University)
Zhang, Xiaobo (Department of Mathematics, Shanghai Normal University)
Publication Information
Journal of the Korean Mathematical Society / v.47, no.2, 2010 , pp. 363-372 More about this Journal
Abstract
In this paper, we introduce and study the generalized inverse $A^{(1,2)}_{T,S}$ with the prescribed range T and null space S of an adjointable operator A from one Hilbert $C^*$-module to another, and get some analogous results known for finite matrices over the complex field or associated rings, and the Hilbert space operators.
Keywords
generalized inverse; Hilbert $C^*$-module; adjointable operator;
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