Controlled K-Riesz bases in Hilb ert spaces
کد مقاله : 1044-SHAA
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.
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