Linearization of isometric embeddings between Banach spaces: an elementary approach
type: Item
instance of: scholarly article
zbMATH Open document ID: 1256.46010
author: Gilles Godefroy
published in: Operators and Matrices
publication date: 2012-09-14T00:00:00Z
Mathematics Subject Classification ID: 46B80
Mathematics Subject Classification ID: 46B04
zbMATH DE Number: 6082491
zbMATH Keywords: isometric embeddings
zbMATH Keywords: linearization
MaRDI profile type: Publication
full work available at URL: oam-06-24
OpenAlex ID: W2019847390
DOI: 10.7153/OAM-06-24
title: Linearization of isometric embeddings between Banach spaces: an elementary approach
review text: The author gives a very elementary and accessible proof of the celebrated result due to him and \textit{N. J. Kalton} [Stud. Math 159, No. 1, 121--141 (2003; Zbl 1059.46058)] that a separable Banach space that isometrically embeds into a Banach space \(Y\), also embeds linear isometrically into \(Y\).
reviewed by: T.S.S.R.K. Rao
description: scientific article; zbMATH DE number 6082491