论文标题
$ g $ -Frames的有限表示的属性
Properties of bounded representations for $G$-frames
论文作者
论文摘要
由于有界操作员在动态抽样中的框架表示的重要性，研究人员研究了$ \ {t^{i-1} f \} _ {i \ in \ mathbb {n}} $的框架的框架，哪些$ f $属于可分开的Hilbert Space $ \ Mathcal $ f $并调查了$ t $的属性。鉴于$ g $ -Frames包括诸如融合框架之类的各种框架，本文的主要目的是研究$ \ {λt^{i-1} \ in B（\ nimcal {h}，\ mathcal {h}，\ mathcal {k}）的特征，$ g $ -frame的特征。
Due to the importance of frame representation by a bounded operator in dynamical sampling, researchers studied the frames of the form $\{T^{i-1} f\}_{i\in \mathbb{N}}$, which $f$ belongs to separable Hilbert space $\mathcal{H}$ and $T\in B(\mathcal{H})$, and investigated the properties of $T$. Given that $g$-frames include the wide range of frames such as fusion frames, the main purpose of this paper is to study the characteristics of the operator $T$ for $g$-frames of the form $\{ΛT^{i-1} \in B(\mathcal{H},\mathcal{K}):i\in \mathbb{N}\}$.
