Bulletin of the Polish Academy of Sciences Mathematics · 2010 · 24 citations · 9 references
Natural SciencesProperty LawDynamical SystemsEigenvalue ProblemsStabilityStability Theory
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 axi
9
Orthogonality in linear metric spaces
Garrett Birkhoff · Duke Mathematical Journal · 1935 · 478 citations
On orthogonally additive mappings
Jürg Rätz · Aequationes Mathematicae · 1985 · 150 citations
Natural Sciences, Computer Science, Representation Theory +3