Valuations on the Space of Quasi-Concave Functions

被引：15
|
作者：
Colesanti, Andrea [1 ]
Lombardi, Nico [1 ]
机构：
[1] Dipartimento Matemat & Informat Y Dini, Viale Morgagni 67-A, I-50134 Florence, Italy
来源：
GEOMETRIC ASPECTS OF FUNCTIONAL ANALYSIS | 2017年 / 2169卷
关键词：
MINKOWSKI VALUATIONS;
D O I：
10.1007/978-3-319-45282-1_6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We characterize the valuations on the space of quasi-concave functions on R-N, that are rigid motion invariant and continuous with respect to a suitable topology. Among them we also provide a specific description of those which are additionally monotone.
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页码：71 / 105
页数：35
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