<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

Institute of Mathematics, University of Silesia, Bankowa 14 40-007 Katowice, Poland

Annales Mathematicae Silesianae

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

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

Published Online: Sep 30, 2015

Page range: 19 - 23

Received: Sep 10, 2014

DOI: https://doi.org/10.1515/amsil-2015-0002

© Karol Baron

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.