Chinese Quarterly Journal of Mathematics ›› 2007, Vol. 22 ›› Issue (3): 328-332.

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Fundamental Locally Solid Riesz Spaces

  

  1. Department of Mathematics Nankai University Tianjin 300071,China Department of Mathematics,Southwest Jiaotong University,Chengdu 610031,China
  • Received:2004-11-30 Online:2007-09-30 Published:2023-10-25
  • About author: CHEN Jin-xi(1971-), male, native of Guangshan, Henan, Ph.D., engages in functional analysis.
  • Supported by:
    Supported by the Research Fund for the Doctoral Program of Higher Educa- tion(20010055013)

Abstract: In this paper we focus ourselves on the positive cone of the locally solid Riesz spaces to characterize the fundamentality.From one example the article indicates that the fundamentality of the locally solid Riesz space is independent from the Lebesgue property.

Key words: locally solid Riesz space;fundamental locally solid Riesz space, positive cone

CLC Number: