A Striktpositivstellensatz for measurable functions

被引：1
|
作者：
Putinar, Mihai [1 ]
机构：
[1] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA
来源：
COMPTES RENDUS MATHEMATIQUE | 2009年 / 347卷 / 7-8期
基金：
美国国家科学基金会;
关键词：
SEMI-ALGEBRAIC SETS; GLOBAL OPTIMIZATION; POLYNOMIALS; MOMENTS;
D O I：
10.1016/j.crma.2009.02.010
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A weighted sums of squares decomposition of positive Borel measurable functions on a bounded Borel subset of the Euclidean space is obtained via duality from the spectral theorem for tuples of commuting self-adjoint operators. The analogous result for polynomials or certain rational functions was amply exploited during the last decade in a variety of applications. To cite this article: M. Putinar, C R. Acad. Sci. Paris, Ser. I347 (2009). (C) 2009 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：381 / 384
页数：4
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