Valuations on Lp-Spaces

被引：32

作者：

Tsang, Andy ^{[1
]}

机构：

[1] NYU, Dept Math, Polytech Inst, Brooklyn, NY 11201 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2010年 / 2010卷 / 20期

关键词：

INVARIANT VALUATIONS; CONVEX-SETS; MANIFOLDS; BODIES;

D O I：

10.1093/imrn/rnq028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A representation theorem is established for continuous valuations on L-p-spaces whose underlying measure is non-atomic. As a consequence, a complete classification is obtained of continuous translation invariant valuations on L-p(R-n) and of continuous rotation invariant valuations on L-p(Sn-1).

引用

页码：3993 / 4023

页数：31

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