A Functional Equation with Biadditive Functions

Radosław Łukasik

doi:10.2478/amsil-2022-0008

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A Functional Equation with Biadditive Functions

Annales Mathematicae Silesianae

Volume 36 (2022): Issue 2 (September 2022)

By: Radosław Łukasik

Open Access

|May 2022

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.

References

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Articles in this issue

DOI: https://doi.org/10.2478/amsil-2022-0008 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 193 - 205

Submitted on: Jan 12, 2022

Accepted on: Apr 11, 2022

Published on: May 2, 2022

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

biadditive function,

orthogonality equation,

Related subjects:

© 2022 Radosław Łukasik, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 36 (2022): Issue 2 (September 2022)