This article is cited in 5 papers

Brief communications

On an Orthogonality Equation in Normed Spaces

P. Wójcik

Pedagogical University of Cracow

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.

Keywords: norm derivative, quotient space, functional equation.

UDC: 517.98

Received: 07.04.2017

DOI: 10.4213/faa3464

 English version: Functional Analysis and Its Applications, 2018, 52:3, 224–227

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