引入了H-Z-空间的正交投影的概念,证明了内积H-Z-空间是一致凸Z-空间,讨论了内积H-Z-空间中的正交投影的性质,并将泛函分析学中希尔伯特空间中有关正交投影的性质移植到内积H-Z-空间之中.
This paper introduces the concept for Orthogonal projections of Inner product H - Z - spaces and proves orthogonal inner product H - Z - spaces are uniform protruding Z - spaces; it dicusses the properties of projections on inner product H - Z - spaces, and the properties of orthogonal projections on Hilbert spaces are established in inner product H - Z - spaces.