STABILITY OF THE BARON-VOLKMANN FUNCTIONAL EQUATIONS

被引：0

作者：

Przebieracz, Barbara ^{[1
]}

机构：

[1] Silesian Univ, Inst Math, PL-40007 Katowice, Poland

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2011年 / 14卷 / 01期

关键词：

Absolute value of linear functional; functional equations; stability;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove the stability of the equations sup(lambda is an element of T) f(x + lambda y) = f(x) + f(y) and inf(lambda is an element of T) f(x + lambda y) = vertical bar f(x) f(y)vertical bar. Here, f is a real-valued function on V, where V is a complex vector space and T - {z is an element of C : vertical bar z vertical bar - 1}. Each of these equations characterizes the absolute value of complex linear functionals.

引用

页码：193 / 201

页数：9