<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></abstract>

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.

On Orthogonally Additive Functions With Big Graphs

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"On Orthogonally Additive Functions With Big Graphs"}

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...

On Orthogonally Additive Functions With Big Graphs

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.