Work

When weak convergence in von Neumann algebras implies almost uniform convergence?

Year: 2026

Type: article

Abstract: 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 .

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70478

Authors: Yerlan Nessipbayev, Fedor Sukochev, Dmitriy Zanin

Institutions: UNSW Sydney, Institute of Mathematics and Mathematical Modeling, Central South University

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funder: Australian Research Council