http://hdl.handle.net/20.500.12128/15960
Tytuł: | Orthogonal stability of the Cauchy equation on balls |
Autor: | Sikorska, Justyna |
Słowa kluczowe: | functional equations; Cauchy equation; orthogonal stability |
Data wydania: | 2000 |
Źródło: | Demonstratio Mathematica, Vol. 33, nr 3 (2000) s. 527-546 |
Abstrakt: | We deal with stability of some functional equations postulated for orthogonal vectors in a ball centered at the origin. The maps considered are defined on a finite dimensional inner product space and take their values in a real sequentially complete linear topological space. The main result establishes the stability of the corresponding conditional Cauchy functional equation and as a consequence we obtain some other stability results. Results which do not involve the orthogonality relation are considered in more general structures. |
URI: | http://hdl.handle.net/20.500.12128/15960 |
DOI: | 10.1515/dema-2000-0310 |
ISSN: | 2391-4661 0420-1213 |
Pojawia się w kolekcji: | Artykuły (WNŚiT) |
Plik | Opis | Rozmiar | Format | |
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Sikorska_Orthogonal_stability.pdf | 1,81 MB | Adobe PDF | Przejrzyj / Otwórz |
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