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http://hdl.handle.net/20.500.12128/14461| Title: | Functions Preserving the Biadditivity |
| Authors: | Łukasik, Radosław Wójcik, Paweł |
| Keywords: | Primary 39B52, 20M15; Secondary 20K25, 20K30; Biadditive function; orthogonality equation; divisible group; torsion-free group |
| Issue Date: | 2020 |
| Citation: | "Results in Mathematics" Vol. 75 (2020), art. 82 |
| Abstract: | In this paper we consider the generalization of the orthogonality equation. Let S be a semigroup, and let H,X be abelian groups. For two given biadditive functions A: S2 → X, B: H2 → X and for two unknown mappings f, g : S → H the functional equation B(f(x), g(y)) = A(x, y) will be solved under quite natural assumptions. This extends the wellknown characterization of the linear isometry. |
| URI: | http://hdl.handle.net/20.500.12128/14461 |
| DOI: | 10.1007/s00025-020-01206-3 |
| ISSN: | 1420-9012 |
| Appears in Collections: | Artykuły (WNŚiT) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Lukasik_Wojcik_functions_preserving_the_biaddtivity.pdf | 600,61 kB | Adobe PDF | View/Open |
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