内积H-Z-空间及其性质

Inner Product H-Z-spaces And It′s Quality

引入了H-Z-空间的概念,证明了由次内积导入的次范得到的内积H-Z-空间X为B-Z-空间(X,‖.‖),并将泛函分析学中希尔伯特空间的有关性质移植到内积H-Z-空间之中.

This paper introduces the concept for inner product H - Z - spaces and it proves inner product H - Z - spaces X by leading sub - inner product into sub - normed space is B - Z - spaces （ X,‖·‖ ）. some qualities of Hilbert spaces in the functional analysis are established in inner product H - Z - spaces.