Average Approximations and Moments of Measures

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• 作者：Bogachev ; Vladimir
• 刊名：Journal of Complexity
• 出版年：2000
• 期刊代码：73_0885064x
• 类别：mt
• 出版时间：June, 2000
• 卷：16
• 期：2
• 页码：390-410
• 文件大小：172 K

摘要

We investigate average approximations of infinite dimensional mappings and related problems connected with moments of measures on linear spaces. A conjecture stated by J. F. Traub and A. G. Werschulz (1994, Math. Intelligencer16, 42–48) is settled. Several positive results concerning average approximations of Banach space valued mappings are obtained. Some related open problems are discussed.