Uniformly differentiable bump functions
type: Item
instance of: scholarly article
title: Uniformly differentiable bump functions
zbMATH Open document ID: 0876.46007
DOI: 10.1007/PL00000394
author: Wee-Kee Tang
published in: Archiv der Mathematik
publication date: 1997-06-24T00:00:00Z
review text: A construction of a uniformly Gâteaux differentiable (UG) norm from a UG bump function is demonstrated in this paper. The construction does not make use of the implicit function theorem. This construction also works for the uniformly Fréchet differentiable case.
Mathematics Subject Classification ID: 46B03
zbMATH DE Number: 1026247
zbMATH Keywords: uniformly Gâteaux differentiable norm
zbMATH Keywords: UG bump function
zbMATH Keywords: uniformly Fréchet differentiable
MaRDI profile type: Publication
cites work: Q3134552
cites work: Lipschitz Smooth Points of Convex Functions and Isomorphic Characterizations of Hilbert Spaces
cites work: Norms with locally Lipschitzian derivatives
cites work: Second-Order Gâteaux Differentiable Bump Functions and Approximations in Banach Spaces
cites work: Higher order Gateaux smooth bump functions on Banach spaces
cites work: Convex functions, monotone operators and differentiability.
full work available at URL: pl00000394
OpenAlex ID: W2314283620
description: scientific article; zbMATH DE number 1026247