Almost Chebyshëv subspaces in the spaces of compact operators
type: Item
instance of: scholarly article
title: Almost Chebyshëv subspaces in the spaces of compact operators
zbMATH Open document ID: 0871.47020
DOI: 10.1007/BF02107337
author: G. M. Ustinov
published in: Siberian Mathematical Journal
publication date: 1996-09-03T00:00:00Z
review text: A closed linear subspace \(E\) of a Banach space \(X\) is called almost Chebyshev subspace, if the elements \(x\in X\), for which the set \(P_E=\{y\in E: |x-y|=\inf_{z\in E} |x-z|\}\) consists of one point, are dense in \(X\). The paper deals with the approximation properties of the space \(K(C(T)\), \(C(Q))\) of compact linear operators acting between the spaces of continuous functions \(C(T)\), \(C(Q)\). The author gives a characterization for finite-dimensional almost Chebyshev subspaces of \(K(C(T)\), \(C(Q))\) and establishes a series of properties of these subspaces.
Mathematics Subject Classification ID: 47A58
Mathematics Subject Classification ID: 41A50
zbMATH DE Number: 923548
zbMATH Keywords: almost Chebyshev subspace
zbMATH Keywords: approximation properties
MaRDI profile type: Publication
cites work: Q5336643
cites work: Q3237473
cites work: Continuous selections. I
full work available at URL: https://doi.org/10.1007/bf02107337
OpenAlex ID: W1974907929
description: scientific article; zbMATH DE number 923548