Abstract
Let E be a real inner product space of dimension at least 2. We show that both the set of all orthogonally additive functions mapping E into E having orthogonally additive second iterate and its complement are dense in the space of all orthogonally additive functions from E into E with the Tychonoff topology.
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Baron, K. On the set of orthogonally additive functions with orthogonally additive second iterate. Aequat. Math. 91, 995–1000 (2017). https://doi.org/10.1007/s00010-017-0506-7
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DOI: https://doi.org/10.1007/s00010-017-0506-7