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

Title & Authors
THE GENERALIZED INVERSES A(1,2)T,S OF THE ADJOINTABLE OPERATORS ON THE HILBERT C^*-MODULES
Xu, Qingxiang; Zhang, Xiaobo;

Abstract
In this paper, we introduce and study the generalized inverse $\small{A^{(1,2)}_{T,S}}$ with the prescribed range T and null space S of an adjointable operator A from one Hilbert $\small{C^*}$-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 $\small{C^*}$-module;adjointable operator;
Language
English
Cited by
1.
Volume Removed - Publisher's Disclaimer, Energy Procedia, 2011, 13, 1
2.
The Drazin inverse in an arbitrary semiring, Linear and Multilinear Algebra, 2011, 59, 9, 1019
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