Une remarque concernant les principes de grandes déviations dans les espaces Schauder décomposables

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• 作者：Davit Varron
• 刊名：Comptes Rendus Mathematique
• 出版年：2006
• 出版时间：1 September 2006
• 年：2006
• 卷：343
• 期：5
• 页码：345-348
• 全文大小：105 K

文摘

Consider a separable Banach space (E,) admitting a Schauder decomposition with respect to a sequence of closed subspaces (E_i)_i1. We establish a necessary and sufficient criterion for a sequence of (Borel) random elements of E to satisfy a large deviation principle. As a consequence, we derive a specific criterion for random sequences in Hölder spaces. Our works are mainly inspired by Suquet (1999), Lynch and Sethuraman (1987) and Arcones (2003). To cite this article: D. Varron, C. R. Acad. Sci. Paris, Ser. I 343 (2006).