DOI: 10.1112/blms.70478 ISSN: 0024-6093
When weak convergence in von Neumann algebras implies almost uniform convergence?
Yerlan Nessipbayev, Fedor Sukochev, Dmitriy ZaninAbstract
We show that weak sequential convergence in a semifinite von Neumann algebra equipped with a faithful normal semifinite trace implies almost uniform convergence if and only if is of type with and that weak sequential convergence in a finite von Neumann algebra with implies (quasi‐)norm convergence in noncommutative spaces associated with for all .