the solutions to some operator equations in hilbert c*-module
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abstract
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.
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Journal title:
journal of linear and topological algebra (jlta)جلد ۴، شماره ۰۱، صفحات ۳۵-۴۲
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