Hilbert C~* -模之间的同构定理(英文)

Isomorphism Theorems between Hilbert C~*-modules

获得了 Hilbert C* -模之间的两个同构定理 .作为推论 ,证明了 C* -代数上每个可数生成的Hilbert C* -模均稳定酉等价于 A.

In this paper we obtained two unitarily isomorphism theorems between two Hilbert C * modules, as a consequence, we showed that every countably generated Hilbert module is stably unitarily equivalent to A.