摘要
指出文〔1〕中一个命题的错误,构造反例说明对于一般的内积空间及其子集M,(M~⊥)~⊥不一定是包含M的最小闭子空间。同时给出此命题成立的充要条件及相关结果。
A Counterexample is constructed in this paper to point out a mistake in [1], that is ,for an inner product space H and its subset M,(M⊥)⊥ is generally not the smallest closed subspace of H which contains M. We give a sufficient and necessary condition for this relation to be available. Other relating topics are discussed as well.
出处
《山西大同大学学报(自然科学版)》
1996年第3期12-14,共3页
Journal of Shanxi Datong University(Natural Science Edition)
关键词
内积空间
正交补集
Inner product space
orthogonal complementary set