引入了内积Z-空间的概念,证明了由次内积导入的次范得到的空间(X,‖.‖)为Z-空间,并将泛函分析学中有关内积空间的性质移植到内积空间Z-空间之中.
This paper introduces the concept for inner product Z - spaces, it proves the spaces (X, ‖ · ‖) obtained by introducing the sub - inner product into the sub - norm are Z - spaces. The properties of inner product spaces in functional analysis are applied to inner product Z - spaces.