About this article
Published Online: Sep 13, 2017
Page range: 57 - 62
Received: Jul 29, 2016
Accepted: Sep 15, 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.