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Title: Remarks on isometries of products of linear spaces
Authors: Bachir, Mohammed
Keywords: Normed space;Isometry;Espacio normado;Isometría
Issue Date: 2015
Publisher: Universidad de Extremadura
Abstract: Given two normed spaces X, Y , the aim of this paper is establish that the existence of an isomorphism isometric between X ⨉ ℝ and Y ⨉ ℝ is equivalent to the existence of an isometric isomorphism between X and Y , provided the norms satisfy an appropriate condition. By means of a counterexample, it is shown that this result fails for arbitrary norms even if X = Y = ℝ²
Appears in Collections:Extracta Mathematicae Vol. 30, nº 1 (2015)

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