Special uniform approximations of continuous vector-valued functions. I: Special approximations in \(C_X(T)\)
type: Item
instance of: scholarly article
title: Special uniform approximations of continuous vector-valued functions. I: Special approximations in \(C_X(T)\)
zbMATH Open document ID: 1023.46008
author: Vlad Timofte
published in: Journal of Approximation Theory
publication date: 2003-04-02T00:00:00Z
review text: The author studies special uniform approximations of functions over some linear spaces by elements of corresponding tensor products. Several theorems include a density result with respect to inductive limit topology; a Tietze-Dugundji's type extension theorem; a proof of Schauder-Tikhonov's fixed point theorem.
Mathematics Subject Classification ID: 46A32
Mathematics Subject Classification ID: 46B28
Mathematics Subject Classification ID: 54E15
Mathematics Subject Classification ID: 41A65
zbMATH DE Number: 1891517
zbMATH Keywords: uniform approximation
zbMATH Keywords: tensor product
zbMATH Keywords: uniform density
zbMATH Keywords: extension by continuity
reviewed by: Ganesh Datta Dikshit
MaRDI profile type: Publication
full work available at URL: jath.2002.3733
OpenAlex ID: W2503060991
cites work: Q3704352
cites work: An extension of Tietze's theorem
cites work: Q4200714
cites work: Q4150705
cites work: Uniform approximation: The non-locally convex case
cites work: On the Weierstrass-Stone theorem
cites work: Approximation of Vector-Valued Continuous Functions
DOI: 10.1006/JATH.2002.3733
description: scientific article; zbMATH DE number 1891517