Integral K-operator frames for B(H)

H. Labrigui, M. Rossafi, A. Touri, S. Kabbaj
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引用次数: 0

Abstract

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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B(H)的积分k算子框架
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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CiteScore
1.10
自引率
10.00%
发文量
18
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