Solutions to the System of Operator Equations,, and on Hilbert -Modules

Xiaochun Fang, Enran Hou and Ge Dong

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

Abstract:

We study the solvability of the system of the adjointable operator equations , , and over Hilbert -modules. We give necessary and sufficient conditions for the existence of a solution and a positive solution of the system. We also derive representations for a general solution and a positive solution to this system. The above results generalize some recent results concerning the equations for operators with closed ranges.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:826564

DOI: 10.1155/2013/826564

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