整数$K$- $End_{\mathcal{A}}^{\ast}(\mathcal{H})$的运算符框架

H. Labrigui, S. Kabbaj
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引用次数: 0

摘要

本文引入了从Hilbert $C^{\ast}$-modules $\mathcal{H}$到其自记$End_{\mathcal{a}}^{\ast}(\mathcal{H}) $的所有可伴算子集合的积分$K$算子框架的新概念。给出了关于积分K算子框架和算子保持积分K算子框架的构造的一些性质,并得到了一些新的结果。
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Integral $K$-Operator Frames for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$
In this work, we introduce a new concept of integral $K$-operator frame for the set of all adjointable operators from Hilbert $C^{\ast}$-modules $\mathcal{H}$ to it self noted $End_{\mathcal{A}}^{\ast}(\mathcal{H}) $. We give some propertis relating some construction of integral $K$-operator frame and operators preserving integral $K$-operator frame and we establish some new results.
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