论文标题
三个操作员产品的极性分解
The polar decomposition of the product of three operators
论文作者
论文摘要
在Hilbert $ c^*$ - 模块上可相邻的操作员的设置中，本文涉及三个操作员产品的极地分解。阐明了与三个操作员相关的极性分解之间的关系。基于这种关系，提供了一种用于操作员的乘法扰动的极性分解的公式。此外，还提供了与三个算子相关的极性分解的一些特征。
In the setting of adjointable operators on Hilbert $C^*$-modules, this paper deals with the polar decomposition of the product of three operators. The relationship between the polar decompositions associated with three operators is clarified. Based on this relationship, a formula for the polar decomposition of a multiplicative perturbation of an operator is provided. In addition, some characterizations of the polar decomposition associated with three operators are provided.
