一个具有可加性函数的函数方程

IF 0.4 Q4 MATHEMATICS

Annales Mathematicae Silesianae Pub Date : 2022-05-02 DOI:10.2478/amsil-2022-0008

Radosław Łukasik

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引用次数: 0

摘要

设S，H，X为群。对于两个给定的可加性函数A:S2→ X、 B:H2→ X和两个未知映射T:S→ H、 g:S→ 我们将研究函数方程B（T（x），T（y））=A（x，g（y），x，y∈S，它是Hilbert空间中正交性方程的推广。

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A Functional Equation with Biadditive Functions

Abstract Let S, H, X be groups. For two given biadditive functions A : S2 → X, B : H2 → X and for two unknown mappings T : S → H, g : S → S we will study the functional equation B(T (x), T (y)) = A(x, g(y)), x, y ∈ S, which is a generalization of the orthogonality equation in Hilbert spaces.

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来源期刊

Annales Mathematicae Silesianae Mathematics-Mathematics (all)

CiteScore

0.60

自引率

25.00%

发文量

审稿时长

27 weeks