A Functional Equation with Biadditive Functions

Annales Mathematicae Silesianae

article

Radosław Łukasik¹ 

[1] Institute of Mathematics University of Silesia in Katowice Bankowa 14 40-007 Katowice Poland

关键词: biadditive function;    orthogonality equation;    isometry;    adjoint operator;   

DOI  :  10.2478/amsil-2022-0008

学科分类：内科医学

来源: Walter de Gruyter GmbH

【 摘 要 】

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.

【 授权许可】

CC BY