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一类正交射的刻画

Characterization of an Orthographic Projection
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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)
关键词 阿基米德Riesz空间 序有界算子 正交射 偏序 直和分解 欧氏空间 Riesz space order-bounded operato r orthographic projection band
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参考文献6

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