شماره ركورد كنفرانس :
5263
عنوان مقاله :
THE SOLUTION TO THE SYSTEM OFPEDERSEN-TAKESAKI OPERATOR EQUATIONS
پديدآورندگان :
Eskandari Rasoul rasoul.eskandari@cfu.ac.ir Department of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, Iran.
كليدواژه :
Hilbert $C^*$ , module , Operator equation , Positive solution
عنوان كنفرانس :
54 امين كنفرانس رياضي ايران
چكيده فارسي :
Let $mathscr{E}$ be a Hilbert $C^*$-module and $mathcal{L}(mathscr E)$ be the $C^*$-algebra of adjointable operators on $mathscr{E}$. We give a necessary conditions that for which the system of Pedersen--Takesaki equations in the setting of Hilbert $C^*$-modules has a positive solution.