On Ozeki's inequality.
On pairs of automorphisms of von Neumann algebras.
On partial isometries in C*-algebras
We study similarity to partial isometries in C*-algebras as well as their relationship with generalized inverses. Most of the results extend some recent results regarding partial isometries on Hilbert spaces. Moreover, we describe partial isometries by means of interpolation polynomials.
On path integration on noncommutative geometries
We discuss a recent approach to quantum field theoretical path integration on noncommutative geometries which imply UV/IR regularising finite minimal uncertainties in positions and/or momenta. One class of such noncommutative geometries arise as `momentum spaces' over curved spaces, for which we can now give the full set of commutation relations in coordinate free form, based on the Synge world function.
On Projection Maps of von Neumann Algebras.
On quantales that classify -algebras
On quantum extensions of the Azéma martingale semi-group
On real and complex spectra in some real -algebras and applications.
On relative amenability for von Neumann algebras
On Relative Commutants in Tensor Products of C*-algebras.
On representation of elements of a von Neumann algebra in the form of finite sums of products of projections.
On -representations of the Hopf -algebra associated with the quantum group
On Segal's postulates for general quantum mechanics
On smooth extensions of odd dimensional spheres and multidimensional Helton and Howe formula.
On some convex stes and their exteme points.
On some generalization of the t-transformation
Using the Nevanlinna representation of the reciprocal of the Cauchy transform of probability measures, we introduce a two-parameter transformation of probability measures on the real line ℝ, which is another possible generalization of the t-transformation. Using that deformation we define a new convolution by deformation of the free convolution. The central limit measure with respect to the -deformed free convolutions is still a Kesten measure, but the Poisson limit depends on the two parameters...
On Some Problems of Kaplansky in the Theory of Rings of Operators.
On some versions of Jensen's inequality on operator algebras
On some von Neumann topological algebras.
On stability properties of positive contractions of L¹-spaces associated with finite von Neumann algebras
We extend the notion of Dobrushin coefficient of ergodicity to positive contractions defined on the L¹-space associated with a finite von Neumann algebra, and in terms of this coefficient we prove stability results for L¹-contractions.