Sublinear functionals and conical measures

被引：16

作者：

König, H ^{[1
]}

机构：

[1] Univ Saarland, Fak Math & Informat, D-66041 Saarbrucken, Germany

来源：

ARCHIV DER MATHEMATIK | 2001年 / 77卷 / 01期

关键词：

Integral Representation; Representation Theory; Final Version; Recent Representation; Lattice Subspace;

D O I：

10.1007/PL00000466

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper is devoted to the concept of conical measures which is central for the Choquet theory of integral representation in its final version. The conical measures need not be continuous under monotone pointwise convergence of sequences on the lattice subspace of functions which form their domain. We prove that they indeed become continuous (even in the nonsequential sense) when one restricts that domain to an obvious subcone. This result is in accord with the recent representation theory in measure and integration developed by the author. We also prove that one can pass from the subcone in question to a certain natural extended cone.

引用

页码：56 / 64

页数：9