Remarks on isometries of products of linear spaces

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Remarks on isometries of products of linear spaces

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Title: Remarks on isometries of products of linear spaces
Author: Bachir, Mohammed
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
URI: http://hdl.handle.net/10662/9049
Date: 2015


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