Arias, Alvaro; Mascioni, Vania (1992). Best Approximations in Preduals of Von Neumann Algebras. Journal of the London Mathematical Society, s2-46:491-498.
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”
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”
| 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: | 26 Jan 2022 18:04 |
| Publisher: | Oxford University Press |
| ISSN: | 0024-6107 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1112/jlms/s2-46.3.491 |
Arias, Alvaro