On an Orthogonality Equation in Normed Spaces

The aim of this paper is to give an answer to the question, posed by Alsina, Sikorska, and Tomás, as to whether each norm derivative preserving mapping is necessarily linear.

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Bibliographic Details
Published in:Functional analysis and its applications 2018-07, Vol.52 (3), p.224-227
Main Author: Wójcik, P.
Format: Article
Language:English
Subjects:
Analysis
Brief Communications
Functional Analysis
Mathematics
Mathematics and Statistics
Orthogonality
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Description
Summary:The aim of this paper is to give an answer to the question, posed by Alsina, Sikorska, and Tomás, as to whether each norm derivative preserving mapping is necessarily linear.
ISSN:0016-2663
1573-8485
DOI:10.1007/s10688-018-0231-6