论文标题
可分离的Banach空间的p- Approximate Schauder框架的扰动
Perturbation of p-approximate Schauder frames for separable Banach spaces
论文作者
论文摘要
为希尔伯特空间,巴纳克框架,舒德尔框架和原子分解的Banach空间的镜框定理。在本文中,我们为可分离的Banach空间提供了P-Paley-Wiener定理。我们表明,我们的结果为希尔伯特空间的框架提供了佩奇定理。
Paley-Wiener theorem for frames for Hilbert spaces, Banach frames, Schauder frames and atomic decompositions for Banach spaces are known. In this paper, we derive Paley-Wiener theorem for p-approximate Schauder frames for separable Banach spaces. We show that our results give Paley-Wiener theorem for frames for Hilbert spaces.