Header

UZH-Logo

Maintenance Infos

Best Approximations in Preduals of Von Neumann Algebras


Arias, Alvaro; Mascioni, Vania (1992). Best Approximations in Preduals of Von Neumann Algebras. Journal of the London Mathematical Society, s2-46:491-498.

Abstract

This paper characterises the semi-Chebychev subspaces of preduals of von Neumann algebras. As an application it generalises the theorem of Doob, that says that H01 has unique best approximations in L1(T), to a large class of preannihilators of natural non-selfadjoint operator algebras including the nest algebras. Then it studies the semi-Chebychev subspaces of the trace class operators and shows that the only Chebychev *-diagrams are ‘triangular”

Abstract

This paper characterises the semi-Chebychev subspaces of preduals of von Neumann algebras. As an application it generalises the theorem of Doob, that says that H01 has unique best approximations in L1(T), to a large class of preannihilators of natural non-selfadjoint operator algebras including the nest algebras. Then it studies the semi-Chebychev subspaces of the trace class operators and shows that the only Chebychev *-diagrams are ‘triangular”

Statistics

Citations

Altmetrics

Downloads

15 downloads since deposited on 16 Oct 2018
9 downloads since 12 months
Detailed statistics

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:National licences > 142-005
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > General Mathematics
Language:English
Date:1 December 1992
Deposited On:16 Oct 2018 14:42
Last Modified:31 Jul 2020 02:30
Publisher:Oxford University Press
ISSN:0024-6107
OA Status:Green
Publisher DOI:https://doi.org/10.1112/jlms/s2-46.3.491
Related URLs:https://www.swissbib.ch/Search/Results?lookfor=nationallicenceoxford101112jlmss2463491 (Library Catalogue)

Download

Green Open Access

Download PDF  'Best Approximations in Preduals of Von Neumann Algebras'.
Preview
Content: Published Version
Language: English
Filetype: PDF (Nationallizenz 142-005)
Size: 545kB
View at publisher