| Operational Equations Systems |
| کد مقاله : 1098-SLAA10 |
| نویسندگان |
|
جواد فرخی استاد * گروه علوم پایه- دانشگاه صنعتی بیرجند- بیرجند- ایران |
| چکیده مقاله |
| In this paper, by using operator matrices representation, we investigate the explicit solution of the operator equations and operational equations systems. in the general setting of the adjointable modular operators between Hilbert $C^∗$-modules framework. This solution is expressed in terms of the Moore-Penrose inverses of the operators. The obtained results extend and generalize some known operator equations studied previously by a number of mathematicians. |
| کلیدواژه ها |
| Hilbert $C^∗$-module; Moore-Penrose inverse; Operator equation; Operator matrix. |
| وضعیت: پذیرفته شده مشروط برای ارائه به صورت پوستر |