Z-P-S空间中的若干概率分析问题  

SOME PROBLEMS OF PROBABILISTIC ANALYSIS IN THE Z-P-S SPACE

作　　者：朱传喜[1] 朱天[2] 

机构地区：[1]南昌大学数学系,南昌330047 [2]南昌大学计算机系,南昌330047

出　　处：《系统科学与数学》2006年第1期1-4,共4页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(10461007);江西省自然科学基金(0411043)资助课题.

摘　　要：基于Menger概率线性赋范空间,提出了Z-P-S空间这一新概念,研究了Z-P-S空间(E,F,△)中算子A的固有值与固有元问题,建立了紧连续算子A具有大于1的固有值λ且在■D上存在对应于λ的固有元的四个充分条件．In this paper, a new concept of the Z-P-S space is introduced, based on Menger probabilistic linear normed space. Some problems of the intrinsic value and the intrinsic element of operator A are investigated in the Z-P-S space（E, F, △）. Four sufficient conditions for which the compact continuous operator A has an intrinsic value λ which is larger than 1 and has an intrinsic element corresponding with λ on ЭD are established.

关 键 词：紧连续算子 Z-P—S空间 Menger PN空间 拓扑度 算子 

分 类 号：O211[理学—概率论与数理统计]