论文标题

受控的连续$ g $ frames及其双重二元在希尔伯特空间

Controlled continuous $g$-frames and their duals in Hilbert spaces

论文作者

Rossafi, Mohamed, Nhari, Fakhr-dine, Johnson, P. Sam

论文摘要

在本文中,我们表征和研究了受控连续$ g $ frame的概念,这是希尔伯特空间中连续$ g $ frame的延伸。我们介绍了受控连续双$ g $ frame的概念,并观察它的一些有趣的属性。最后,我们表征了所有受控的连续双$ G $ -FRAME的连续$ G $ -FRAGE。

In this paper, we characterize and study the concept of controlled continuous $g$-frame which is an extension of continuous $g$-frame in Hilbert spaces. We introduce the concept of controlled continuous dual $g$-frame and observe some interesting properties of it. Finally, we characterize all controlled continuous dual $g$-frames of a controlled continuous $g$-frame.

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