Superstability of the Cauchy equation with squares in finite-dimensional normed algebras

被引：0

作者：

Bogdan Batko

机构：

[1] Pedagogical University of Cracow,Institute of Mathematics

[2] WSB-NLU,Department of Computational Mathematics

来源：

Aequationes mathematicae | 2015年 / 89卷

关键词：

39B82; 39B52; Stability; Superstability; Cauchy equation with squares; Normed algebra;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Our purpose is to provide an affirmative answer to Moszner’s problem [cf. Moszner (Ann Univ Paed Crac Stud Math XI:69–94, 2012), p. 93] concerning the superstability of the Cauchy equation with squares f(x+y)2=(f(x)+f(y))2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f(x + y)^2 = (f(x) + f(y))^2$$\end{document}in the class of functions mapping an Abelian semigroup into a finite-dimensional normed algebra without divisors of zero.

引用

页码：785 / 789

页数：4

共 13 条

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