We deal with the stability of the orthogonal additivity equation, presenting a new approach to the proof of a 1995 result of R, Ger and the second author. We sharpen the estimate obtained there. Moreover, we work in more general settings, providing an axiomatic framework which covers much more cases than considered before by other authors.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba58-1-3, author = {W\l odzimierz Fechner and Justyna Sikorska}, title = {On the Stability of Orthogonal Additivity}, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, volume = {58}, year = {2010}, pages = {23-30}, zbl = {1197.39016}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba58-1-3} }
Włodzimierz Fechner; Justyna Sikorska. On the Stability of Orthogonal Additivity. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010) pp. 23-30. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba58-1-3/