Faces in the unit ball of the dual of \({\mathcal L}({\mathbb{R}}^ n)\)
type: Item
instance of: scholarly article
title: Faces in the unit ball of the dual of \({\mathcal L}({\mathbb{R}}^ n)\)
zbMATH Open document ID: 0575.47032
DOI: 10.1007/BF01455302
author: Ryszard Grząślewicz
published in: Mathematische Annalen
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/182977
review text: Let E be the n-dimensional Euclidean space. In the paper the dimension of the faces (extremal subsets) of the unit ball of the dual space of the space of linear operators from E into E is considered. This unit ball turns out to be stable in the sense presented in [\textit{S. Papadopoulou}, Math. Ann. 229, 193-200 (1977; Zbl 0339.46001)].
Mathematics Subject Classification ID: 47L07
Mathematics Subject Classification ID: 47A55
Mathematics Subject Classification ID: 47L50
Mathematics Subject Classification ID: 52A20
zbMATH DE Number: 3919155
zbMATH Keywords: dimension of the faces
zbMATH Keywords: extremal subsets
zbMATH Keywords: unit ball of the dual space of the space of linear operators
MaRDI profile type: Publication
cites work: Extreme contractions on real Hilbert spaces
cites work: Isometries of operator algebras
cites work: Extreme points in duals of operator spaces
OpenAlex ID: W2324465501
description: scientific article; zbMATH DE number 3919155