Fréchet-valued pointwise Lipschitz maps
type: Item
instance of: scholarly article
zbMATH Open document ID: 1261.58004
author: Caterina La Russa
publication date: 2012-09-05T00:00:00Z
Mathematics Subject Classification ID: 58C20
zbMATH DE Number: 6077259
zbMATH Keywords: differentiability of pointwise Lipschitz maps
zbMATH Keywords: super reflexive Fréchet space
MaRDI profile type: Publication
title: Fréchet-valued pointwise Lipschitz maps
published in: Bollettino di Matematica Pura e Applicata
review text: Let \(Y\) be a super reflexive Fréchet space. It is proved that every map \(f:{\mathbb{R}}\longrightarrow Y\) has a derivative at almost each point at which \(f\) is pointwise Lipschitz. This result is an extension of a Phillips' theorem (1940) for Lipschitz maps from \({\mathbb{R}}\) into a reflexive Banach space.
reviewed by: Marian Ioan Munteanu
description: scientific article; zbMATH DE number 6077259