Abstract: Introducing the concept of projective operators and self-adjont operators of inner  product H-Z-spaces,this paper dicusses the nature of projective operators on inner product  H-Z-spaces,and analyzes the nature of projective operators on Hilbert spaces being established in inner  product  H-Z-spaces.

Key words: Z-spaces, inner product Z-spaces, inner product H-Z-spaces；projective operators, self-adjoint operators, established