On the Sum of g-Frames and Their Stability in Hilbert Spaces

被引：0
|
作者：
Javad Baradaran
Morteza Zerehpoush
机构：
[1] Jahrom University,Department of Mathematics
[2] Payame Noor University,Department of Mathematics
来源：
Mediterranean Journal of Mathematics | 2023年 / 20卷
关键词：
Sum; -Bessel sequence; -frame; synthesis operator; stability; Primary 42C15; Secondary 41A58;
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摘要：
Since the finite sum of g-frames for a Hilbert space H may not be a g-frame for H, the sum of g-frames in Hilbert spaces are discussed in the present study. In fact, we first provide new sufficient conditions under which the sum of a g-frame and a g-Bessel sequence for a Hilbert space H is a g-frame for H. Subsequently, some results concerning the stability of g-frames for a Hilbert space H are obtained under some types of perturbations.
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