On an Orthogonality Equation in Normed Spaces


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Abstract

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.

About the authors

P. Wójcik

Institute of Mathematics, Pedagogical University of Cracow

Author for correspondence.
Email: pwojcik@up.krakow.pl
Poland, Kraków

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