论文标题
$ hom _ {\ mathcal {a}}}^{\ ast}（\ Mathcal {x}）$的操作员框架
Operator frame for $Hom_{\mathcal{A}}^{\ast}(\mathcal{X})$
论文作者
论文摘要
操作员框架的概念可以视为框架的概括。首先，我们介绍了所有可毗邻的操作员集合的操作员框架$ hom _ {\ Mathcal {a}}}^{\ ast}（\ Mathcal {x}）$上的Hilbert pro- $ C^{\ AST} $ - Module $ \ Mathcal $ \ Mathcal {X} $ cantitor and the Cantestriator and the Cantestriator and the Cant。其次，我们研究了在小扰动下操作员框架的稳定性。我们还研究了Hilbert Pro- $ c^{\ ast} $ - 模块的操作员框架的张量。最后，我们建立了双重和一些属性。
The concept of operator frame can be considered as a generalization of frame. Firstly, we introduce the notion of operator frame for the set of all adjointable operators $Hom_{\mathcal{A}}^{\ast}(\mathcal{X})$ on a Hilbert pro-$C^{\ast}$-module $\mathcal{X}.$ The analysis operator, the synthesis operator and the frame operator are presented. Secondly, we study the stability of operator frame under small perturbations. We also study the tensor product of operator frame for Hilbert pro-$C^{\ast}$-modules. Finally, we establish its dual and some properties.
