希尔伯特空间中的等规范 Parseval 连续 K 帧

Annals of Mathematics and Computer Science Pub Date : 2024-03-28 DOI:10.56947/amcs.v22.281

M. Rossafi, Hafida Massit

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摘要

在本文中，我们提出了希尔伯特空间中帕西瓦尔连续 K- 框架的一些基本结果，并研究了向量等规范的一些性质。此外，我们还证明了一组 K-norm 向量可以扩展成为 K-norm K-帧。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Equal-norm Parseval continuous K-frames in Hilbert spaces

In this paper, we present some fundamental results for the Parseval continuous K- frames in Hilbert space and we study some properties of an equal-norm of vectors. Furthermore, we show that a set of K-norm vectors can be extended to become a K-norm of K-frame.

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Annals of Mathematics and Computer Science

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