| Controlled K-Riesz bases in Hilb ert spaces |
| کد مقاله : 1044-SHAA |
| نویسندگان: |
|
حسام حسین نژاد * دانشگاه علوم و فنون هوایی شهید ستاری |
| چکیده مقاله: |
| In this note, we define the concept of controlled K-Riesz bases in Hilbert spaces and then we give a characterization of them. We also show that under some conditions, every controlled K-Riesz basis is a controlled K-frame. In the sequel, by reminding the concept of controlled K-dual sequences, we show that every controlled K-Riesz basis has a unique controlled K-dual. Finally, we characterize all controlled K-duals of a controlled K-Riesz basis. |
| کلیدواژه ها: |
| Controlled frame, Riesz basis, Dual frame. |
| وضعیت : مقاله برای ارائه شفاهی پذیرفته شده است |