the solutions to some operator equations in hilbert c*-module
نویسندگان
چکیده
in this paper, we state some results on product of operators with closed rangesand we solve the operator equation txs*- sx*t*= a in the general setting of theadjointable operators between hilbert c*-modules, when ts = 1. furthermore, by usingsome block operator matrix techniques, we nd explicit solution of the operator equationtxs*- sx*t*= a.
منابع مشابه
The solutions to some operator equations in Hilbert $C^*$-module
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 $TXS^*-SX^*T^*= A$.
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عنوان ژورنال:
journal of linear and topological algebra (jlta)جلد ۴، شماره ۰۱، صفحات ۳۵-۴۲
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