On the continuous dependence of solutions to orthogonal additivity problem on given functions

Karol Baron

Published: 2015-09-30

Vol. 29 (2015)

On the continuous dependence of solutions to orthogonal additivity problem on given functions

Karol Baron

Abstract

We show that the solution to the orthogonal additivity problem in real inner product spaces depends continuously on the given function and provide an application of this fact.

Keywords:

orthogonal additivity , inner product space , continuous dependence on the given function , topological group , Tychonoff topology , nowhere dense set

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Baron, K. (2015). On the continuous dependence of solutions to orthogonal additivity problem on given functions. Annales Mathematicae Silesianae, 29, 19–23. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13974

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Vol. 29 (2015)
Published: 2015-09-30

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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