The solutions to some operator equations in Hilbert $C^*$-module
نویسندگان
چکیده مقاله:
In this paper, we state some results on product of operators with closed ranges and we solve the operator equation $TXS^*-SX^*T^*= A$ in the general setting of the adjointable operators between Hilbert $C^*$-modules, when $TS = 1$. Furthermore, by using some block operator matrix techniques, we nd explicit solution of the operator equation $TXS^*-SX^*T^*= A$.
منابع مشابه
the solutions to some operator equations in hilbert c*-module
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عنوان ژورنال
دوره 04 شماره 01
صفحات 35- 42
تاریخ انتشار 2015-04-01
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