On Orthogonally Additive Functions With Big Graphs

Baron, Karol

doi:10.1515/amsil-2016-0016

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On Orthogonally Additive Functions With Big Graphs

Annales Mathematicae Silesianae

Volume 31 (2017): Issue 1 (September 2017)

By: Karol Baron

Open Access

|Sep 2017

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.

References

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DOI: https://doi.org/10.1515/amsil-2016-0016 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 57 - 62

Submitted on: Jul 29, 2016

Accepted on: Sep 15, 2016

Published on: Sep 13, 2017

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

orthogonal additivity,

inner product space,

linear topological space,

Related subjects:

© 2017 Karol Baron, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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