the solutions to the operator equation $txs^* -sx^*t^*=a$ in hilbert $c^*$-modules
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abstract
in this paper, we find explicit solution to the operator equation$txs^* -sx^*t^*=a$ in the general setting of the adjointable operators between hilbert $c^*$-modules, when$t,s$ have closed ranges and $s$ is a self adjoint operator.
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Journal title:
international journal of nonlinear analysis and applicationsجلد ۷، شماره ۲، صفحات ۱۲۷-۱۳۲
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