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A basic strict separation theorem in random locally convex modules
Authors:Tiexin Guo  Haixia Xiao
Affiliation:a LMIB and Department of Mathematics, Beihang University, Beijing 100191, China
b Department of Basic Sciences, Hubei Automotive Industries Institute, Shiyan 442002, China
c School of Mathematical Sciences, Xiamen University, Fujian 361005, China
Abstract:The central idea of this paper is to make full use of the recently developed theory of random conjugate spaces to establish a basic strict separation theorem that is universally suitable in an arbitrary random locally convex module. A series of interesting corollaries of the basic theorem are also included.
Keywords:46A22   46A16   46H25   46H05
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