Stability of G-frames
首发时间:2006-02-16
Abstract: G-frames are natural generalizations of frames which cover many other recent generalizations of frames, e.g., bounded quasi-projectors, frames of subspaces, outer frames, oblique frames, pseudo-frames and a class of time-frequency localization operators. Moreover, it is known that g-frames are equivalent to stable space splittings. In this paper, we study the stability of g-frames. We first present some properties for g-Bessel sequences. Then we prove that g-frames are stable under small perturbations. We also study the stability of dual g-frames.
keywords: G-frames,generalized frames, stability
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广义框架的稳定性
摘要:广义框架是普通框架概念的推广, 它包括以下特殊情况:普通框架,有界可逆线性算子,有界拟投影算子,子空间框架,稳定空间分解等.本文研究了广义框架及其对偶的稳定性.
关键词: 广义框架,稳定性
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