A SANDWICH THEOREM FOR MONOTONE ADDITIVE-FUNCTIONS

被引：1

作者：

PLAPPERT, P ^{[1
]}

机构：

[1] TH DARMSTADT,FACHBEREICH MATH,D-64289 DARMSTADT,GERMANY

来源：

SEMIGROUP FORUM | 1995年 / 51卷 / 03期

关键词：

D O I：

10.1007/BF02573643

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The following sandwich problem is considered: Given two real-valued functions g : X --> R, h : Y --> R defined on subsets X, Y subset of or equal to S of a preordered abelian monoid (S, +, 0, <), does there exist a real-valued <-monotone additive function f : S --> R such that g less than or equal to f\X an f\Y < h? We study several necessary conditions for the existence of such a function f, some of which are also sufficient.

引用

页码：347 / 355

页数：9

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