A basic strict separation theorem in random locally convex modules

✍ Scribed by Tiexin Guo; Haixia Xiao; Xinxiang Chen

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 799 KB
• Volume: 71
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2009.02.038

✦ Synopsis

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.