n—超自反子空间

N-Hyperreflexive Subspace

本文给出了S^((n))是超自反的几个等价条件,并且也证明了S是自反的,但S不是超自反的,则不存在包含S的最小超自反子空间。另外还讨论了自反的遗传性。

In this paper, we prove that a Subspace S^((n)) is hyperreflexive several equivalence conditions, and show if S is reflexive but S is not hyperreflexive,then there is not the smallest hyperrefleive subspace containing S. Some also problems are discussed in this paper.