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On the Stability of Orthogonal Additivity

Włodzimierz FechnerJustyna Sikorska — 2010

Bulletin of the Polish Academy of Sciences. Mathematics

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.

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