摘要
给出n维欧氏空间Rn按通常的偏序作成的阿基米德Riesz空间上正交射的特征,以此可对Rn上序有界算子作关于正交射的直和分解。对于Rn按字典顺序做成的非阿基米德Riesz空间的情形,这个刻画及相应结果并不成立。
In this paper,an orth ographic projection on the Archimedean Riesz space R n with the usual coordinate ordering is characterized.Then,the direct sum de composition of an order-bounded operator with respect to the orthographic proje ction is obtained.At last,the author points out that the characterization and the related results do not hold for the non-Archimedean Riesz space R n in the lexicographical order.
出处
《铁道师院学报》
2002年第4期4-7,共4页
Journal of Suzhou Railway Teachers College(Natural Science Edition)