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.
@article{bwmeta1.element.doi-10_1515_amsil-2016-0016,
author = {Karol Baron},
title = {On Orthogonally Additive Functions With Big Graphs},
journal = {Annales Mathematicae Silesianae},
volume = {31},
year = {2017},
pages = {57-62},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_amsil-2016-0016}
}
Karol Baron. On Orthogonally Additive Functions With Big Graphs. Annales Mathematicae Silesianae, Tome 31 (2017) pp. 57-62. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_amsil-2016-0016/