On orthogonally additive functions with big graphs

Karol Baron

Published: 2018-12-18

Vol. 31 (2017)

On orthogonally additive functions with big graphs

Karol Baron

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.

Keywords:

orthogonal additivity , inner product space , linear topological space , Tychonoff topology , big graph , dense set

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Baron, K. (2018). On orthogonally additive functions with big graphs. Annales Mathematicae Silesianae, 31, 57–62. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13938

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Vol. 31 (2017)
Published: 2017-09-13

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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