余子空间的性质

Some Results on Complementary Subspaces

在n维向量空间V中,任一非平凡子空间W的余子空间是不唯一的,本文给出了W的余子空间的一般表示法,并讨论了W的任意两个余子空间的和与交的维数取值范围。

In a n-dlmenslon vector space V, every non-trivial subspace W has a complemetary subspace which is not unique. In this paper we give the general representative method of complementary subspaces of W and discuss the range of the dimension of the sum and intersection for two any complementary subspaces of W.