B(H)的积分k算子框架

IF 0.5 Q3 MATHEMATICS

Annals of the University of Craiova-Mathematics and Computer Science Series Pub Date : 2021-06-30 DOI:10.52846/ami.v48i1.1385

H. Labrigui, M. Rossafi, A. Touri, S. Kabbaj

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引用次数: 0

摘要

本文将引入一个新的概念，即在所有有界线性算子集$\mathcal{B}(H)$中$K$-积分算子框架的概念，其中$H$是可分离的希尔伯特空间。同时，我们也证明了积分K算子框架的一些结果。最后，我们建立了$K$- $\mathcal{B}(H)$的算子框架的摄动和稳定性的一些新性质。

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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Integral K-operator frames for B(H)

In this paper, we will introduce a new notion, that of $K$-Integral operator frames in the set of all bounded linear operators noted $\mathcal{B}(H)$, where $H$ is a separable Hilbert space. Also, we prove some results of integral $K$-operator frame. Lastly we will establish some new properties for the perturbation and stability for an integral $K$-operator frames for $\mathcal{B}(H)$.

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来源期刊

Annals of the University of Craiova-Mathematics and Computer Science Series MATHEMATICS-

CiteScore

1.10

自引率

10.00%

发文量