Decomposability of von Neumann Algebras and the Mazur Property of Higher Level
Decomposability of von Neumann Algebras and the Mazur Property of Higher Level
Abstract The decomposability number of a von Neumann algebra ℳ (denoted by dec(ℳ)) is the greatest cardinality of a family of pairwise orthogonal non-zero projections in ℳ. In this paper, we explore the close connection between dec(ℳ) and the cardinal level of the Mazur property for the predual ℳ * …