We investigate a block projection operators in normed solid spaces of measurable operators

We establish that a positive linear functional f on the full matrix algebra is a positive multiple of the canonical trace if and only if f(|A|)=f(A) implies that A is positive semidefinite. Furthermore, we characterize ...

Let H be an innite-dimensional Hilbert space over the field C, B(H) be the ∗-algebra of all linear bounded operators on H. An operator A ∈ B(H) is a commutator, if A = [S, T ] = ST - T S for some S, T ∈ B(H). Let X, Y ∈ ...

Let a von Neumann algebra M of operators act on a Hilbert space H , τ be a faithful normal semifinite trace on M. Let tτl be the topology of τ-local convergence in measure on the *-algebra S(M,τ) of all τ -measurable ...

We establish similarity between some tripotents and idempotents on a Hilbert space $H$ and obtain new results on differences and commutators of idempotents $P$ and $Q$. In the unital case, the difference $P - Q$ is associated ...

We investigate differences of idempotents in C*-algebras and the quantum Hall effect

We study dominated convergence in measure on semifinite von Neumann algebras and arithmetic averages of measurable operators

We investigate ideal F-Norms on C*-Algebras

Originally studied by Gohberg and Krein, the block projection operators admit a natural extension to the setting of quasi-normed ideals and noncommutative integration. Here, we establish several uniform submajorizationinequalities ...