Orthogonally additive bijections are additive
- 334 Downloads
Any orthogonally additive injection of a real inner product space of dimension at least 2 onto an abelian group is additive.
Mathematics Subject Classification (2010)39B55 46C99
KeywordsOrthogonally additive and additive function inner product space
Open AccessThis article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.