关於“Урысон算子正、负固有值的全局特征和应用”一文的注记  

A note on the paper of "Global characteristics of the positive eigenvalue and the negative eigenvalue for the Урысон operator with applications"

作　　者：赵从江[1] 

机构地区：[1]中国民航飞行学院计算机与信息工程系,四川广汉618307

出　　处：《纯粹数学与应用数学》2005年第1期85-90,共6页Pure and Applied Mathematics

摘　　要：不设函数k(x,y,u)≥0(x,y∈G,u∈[0,+∞)),对於超幂型Урысон算子得出某种关於原点对称的两个无穷区间中的每一个实数皆为它的固有值.其结果也适用於一般的Урысон算子.Without assuming the k(x,y,u)≥0(x,y∈G,u∈[0,+∞)),that every real number in some two symmetrical infinite interval about the origin is an eigenvalue of Урысон operator of the ultrapower type are obtained. This result is also applied to general Урысон operator.

关 键 词：Урысон算子 超幂型 固有值 全局特征 对称无穷区间 

分 类 号：O175.9[理学—数学]