HilbertK-模上框架向量的参数化

The parametrization of frame vectors for a unitary system on Hilbert K-modules

考虑紧算子代数模(简称HilbertK-模),引入了这种模上的酉系统和框架向量,并研究了其性质,最后将HilbertK-模上的框架向量进行了参数化。

Module on compact operator algebras which are called Hilbert K-modules are considered,and the concepts of unitary system on Hilbert K-modules and its frame vectors are introduced.The basic properties of the unitary system and its frame vectors are studied.Finally,frame vectors for a unitary system on Hilbert K-modules are parametrized.