the solutions to the operator equation $txs^* -sx^*t^*=a$ in hilbert $c^*$-modules

نویسندگان

mehdi mohammadzadeh karizaki

department of mathematics, mashhad branch, islamic azad university, mashhad 91735, iran mahmoud hassani

department of mathematics, mashhad branch, islamic azad university, mashhad, iran. dragan djordjevic

d. s. djordjevic, faculty of sciences and mathematics, university of ´ nis, visegradska 33, p.o. box 224, 18000 nis, serbia.

چکیده

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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عنوان ژورنال:
international journal of nonlinear analysis and applications

جلد ۷، شماره ۲، صفحات ۱۲۷-۱۳۲

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