journal6 ›› 2010, Vol. 31 ›› Issue (4): 24-27.

• Mathematics • Previous Articles     Next Articles

Some Special Probabilistic Metric Spaces


  1. (1.School of Mechanics and Engineering,Southwest Jiaotong Univ.,Chengdu 610031,China;2.Department of Mathematics,Hebei Institute of Architecture and Civil Engineering,Zhangjiakou 075024,Hebei China;3.College of Mathematics,Chengdu University of Information Technology,Chengdu 610225,China)
  • Online:2010-07-25 Published:2012-04-16
  • About author:LI Liang (1984-),fale,was born in Qufu City,Shandong Provence,doctor;research area are probabilistic metric theory and general mechanics.

Abstract: The authors give the definitions of PMG and LPM space and  introduce a special LPM space,which is called PQN space.Then a special PM space named APM space is also introduced.In each APM space,an linear structure can be constructed such that this PM space is an LPM space.An example of APM space which is constructed by a non-topological vector PN space is given.

Key words: PM space, PN space, PMG, APM space;PQN space, topological vector space, topological group

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