On The Continuous Dependence Of Solutions To Orthogonal Additivity Problem On Given Functions

Karol Baron

doi:10.1515/amsil-2015-0002

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On The Continuous Dependence Of Solutions To Orthogonal Additivity Problem On Given Functions

Annales Mathematicae Silesianae

Volume 29 (2015): Issue 1 (September 2015)

By: Karol Baron

Open Access

|Sep 2015

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.

References

[1] Baron K., Rätz J., On orthogonally additive mappings on inner product spaces, Bull. Polish Acad. Sci. Math. 43 (1995), 187–189.
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[2] Kuczma M., An introduction to the theory of functional equations and inequalities. Cauchy’s equation and Jensen’s inequality, Second edition (edited by A. Gilányi), Birkhäuser Verlag, Basel, 2009.10.1007/978-3-7643-8749-5
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[3] Rätz J., On orthogonally additive mappings, Aequationes Math. 28 (1985), 35–49.10.1007/BF02189390
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[4] Sikorska J., Orthogonalities and functional equations, Aequationes Math. 89 (2015), 215–277.10.1007/s00010-014-0288-0
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Articles in this issue

DOI: https://doi.org/10.1515/amsil-2015-0002 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 19 - 23

Submitted on: Sep 10, 2014

Published on: Sep 30, 2015

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

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

39B55,

39B52,

39B82

Related subjects:

Mathematics,

General mathematics

© 2015 Karol Baron, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 29 (2015): Issue 1 (September 2015)