A connection between spectral radius and trace
A convex operator function.
A generalization of entropy using traces on von Neumann algebras
A note on one-parameter groups of automorphisms.
A Thom isomorphism for infinite rank Euclidean bundles.
Adjointability of operators on Hilbert -modules.
*-algebras of unbounded operators affiliated with a von Neumann algebra.
Almost commuting unitary elements in purely infinite simple C*-algebras.
Brascamp--Lieb inequalities for non-commutative integration.
Compactness properties for multiplication operators on von Neumann algebras and their preduals
We consider compactness, weak compactness and complete continuity for multiplication operators on von Neumann algebras and their preduals.
Decompositions of operator-valued functions in Hilbert spaces
Direct sums of irreducible operators
It is known that every operator on a (separable) Hilbert space is the direct integral of irreducible operators, but not every one is the direct sum of irreducible ones. We show that an operator can have either finitely or uncountably many reducing subspaces, and the former holds if and only if the operator is the direct sum of finitely many irreducible operators no two of which are unitarily equivalent. We also characterize operators T which are direct sums of irreducible operators in terms of the...
Discontinuity of the Fuglede-Kadison determinant on a group von Neumann algebra
We show that in contrast to the case of the operator norm topology on the set of regular operators, the Fuglede-Kadison determinant is not continuous on isomorphisms in the group von Neumann algebra with respect to the strong operator topology. Moreover, in the weak operator topology the determinant is not even continuous on isomorphisms given by multiplication with elements of . Finally, we define such that for each the operator is a self-adjoint weak isomorphism of determinant class but...
Ergodic Theorem for Convex Sets and Operator Algebras.
Extensions of derivations II.
Gabor Time-Frequency Lattices and the Wexler-Raz Identity.
Homotopy classes of elliptic transmission problems over -algebras.
Identity of Taylor's joint spectrum and Dash's joint spectrum
On pairs of automorphisms of von Neumann algebras.
On strong generation of B(ℋ) by two commutative C*-algebras
The algebra B(ℋ) of all bounded operators on a Hilbert space ℋ is generated in the strong operator topology by a single one-dimensional projection and a family of commuting unitary operators with cardinality not exceeding dim ℋ. This answers Problem 8 posed by W. Żelazko in [6].