A remark on orthogonally additive bijections

作者：Turnsek Aleksej^*

来源：Aequationes Mathematicae, 2015, 89(3): 745-748.

DOI：10.1007/s00010-014-0261-y

• Functional equation
• orthogonally additive
• inner product space
• quaternions

Baron proved that orthogonally additive bijections from a real inner product space of dimension at least 2 to an abelian group are additive. In this note we extend this result to complex or quaternionic inner product spaces.

• 出版日期2015-6