K-Frames from Finite Extensions

被引：0
作者：
Morteza Rahmani
机构：
[1] Islamic Azad University,Young Researchers and Elite Club, Ilkhchi Branch
来源：
Results in Mathematics | 2022年 / 77卷
关键词：
Bessel sequence; frame; -frame; Primary 42C15; Secondary 47A05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study finite extensions of Bessel sequences to K-frames in a separable Hilbert space H. Precisely, we give some necessary and sufficient conditions for a Bessel sequence such that it can be expanded to a K-frame and a Parseval K-frame by adding finite number of elements in H. Also we show that under some conditions, a frame can be extended to a Parseval K-frame.
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