论文标题

希尔伯特空间中框架的操作员代表研究

Study on operator representation of frames in Hilbert spaces

论文作者

Cheshmavar, Jahangir, Dallaki, Ayyaneh

论文摘要

本文的目的是概述框架的操作员结构,该框架属于某些类别的线性运算符,该元素属于$ h $。我们讨论此类元素集的大小。同样,对于给定的框架,可以获得一些结果。最后,我们通过提出连接框架理论和操作者理论的几个问题来得出结论。

The purpose of this paper is to give an overview of the operator structure of frames, where the operator belongs to certain classes of linear operators and the element belongs to $H$. We discuss the size of the set of such elements. Also, for a given frame and any, some results are obtained for . Finally, we conclude this note by raising several questions connecting frame theory and operator theory.

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