À propos de cet article
Publié en ligne: 13 sept. 2017
Pages: 57 - 62
Reçu: 29 juil. 2016
Accepté: 15 sept. 2016
DOI: https://doi.org/10.1515/amsil-2016-0016
© 2017
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
Let E be a separable real inner product space of dimension at least 2 and V be a metrizable and separable linear topological space. We show that the set of all orthogonally additive functions mapping E into V and having big graphs is dense in the space of all orthogonally additive functions from E into V with the Tychonoff topology.