On orthogonally additive functions with big graphs

Journal Title: Annales Mathematicae Silesianae - Year 2017, Vol 31, Issue

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.

Authors and Affiliations

Karol Baron

Keywords

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  • EP ID EP291250
  • DOI 10.1515/amsil-2016-0016
  • Views 110
  • Downloads 0

How To Cite

Karol Baron (2017). On orthogonally additive functions with big graphs. Annales Mathematicae Silesianae, 31(), 57-62. https://europub.co.uk/articles/-A-291250