Order Derivations on Lp-Spaces of W*-Algebras.
Order properties of compact maps on L...-spaces associated with von Neumann algebras.
Order Structures, Traces and Weights on Morita Equivalent C*-Algebras.
Order theory and interpolation in operator algebras
In earlier papers we have introduced and studied a new notion of positivity in operator algebras, with an eye to extending certain C*-algebraic results and theories to more general algebras. Here we continue to develop this positivity and its associated ordering, proving many foundational facts. We also give many applications, for example to noncommutative topology, noncommutative peak sets, lifting problems, peak interpolation, approximate identities, and to order relations between an operator...
Orlicz spaces associated with a semi-finite von Neumann algebra
Let be a von Neumann algebra, let be a weight on and let be -function satisfying the -condition. In this paper we study Orlicz spaces, associated with , and .
Orthogonal decompositions in Hilbert -modules and stationary processes.
Orthogonal Forms and Probability in von Neumann Algebras.
Orthogonal harmonic analysis of fractal measures.
Orthogonal scalar products on von Neumann algebras
Orthogonal vector measures on projection lattices in a Hilbert space
Orthogonally additive mappings on Hilbert modules
We study the representation of orthogonally additive mappings acting on Hilbert C*-modules and Hilbert H*-modules. One of our main results shows that every continuous orthogonally additive mapping f from a Hilbert module W over 𝓚(𝓗) or 𝓗𝓢(𝓗) to a complex normed space is of the form f(x) = T(x) + Φ(⟨x,x⟩) for all x ∈ W, where T is a continuous additive mapping, and Φ is a continuous linear mapping.
Outer automorphisms of injective C*-algebras.
Outer conjugacy classes of automorphisms of factors
Outers for noncommutative revisited
We continue our study of outer elements of the noncommutative spaces associated with Arveson’s subdiagonal algebras. We extend our generalized inner-outer factorization theorem, and our characterization of outer elements, to include the case of elements with zero determinant. In addition, we make several further contributions to the theory of outers. For example, we generalize the classical fact that outers in actually satisfy the stronger condition that there exist aₙ ∈ A with haₙ ∈ Ball(A)...