We obtain new proofs with improved constants of the Khintchine-type inequality with matrix coefficients in two cases. The first case is the Pisier and Lust-Piquard noncommutative Khintchineâ€¦ (More)

In this paper we generalize Brownâ€™s spectral distribution measure to a large class of unbounded operators affiliated with a finite von Neumann algebra. Moreover, we compute the Brown measure of allâ€¦ (More)

In 1991 Effros and Ruan conjectured that a certain Grothendieck-type inequality for a bilinear form on Câˆ—-algebras holds if (and only if) the bilinear form is jointly completely bounded. In 2002â€¦ (More)

It is shown that to every operator T in a general von Neumann factor M of type II1 and to every Borel set B in the complex plane C, one can associate a maximal, closed, T -invariant subspace, K = KTâ€¦ (More)

We prove existence of subfactors of finite depth of the hyperfinite II1 factor with index (5 + âˆš 13)/2 = 4.302 Â· Â· Â· and (5 + âˆš 17)/2 = 4.561 Â· Â· Â·. The existence of the former was announced by theâ€¦ (More)

In this article it is proved, that every locally compact, second countable group has a left invariant metric d, which generates the topology on G, and which is proper, ie. every closed d-bounded setâ€¦ (More)

In this paper it is proved, that for every prime number p, the set of cyclic p-roots in C is finite. Moreover the number of cyclic p-roots counted with multiplicity is equal to ( 2pâˆ’2 pâˆ’1 ) . Inâ€¦ (More)

We consider the reduction of problems on general noncommutative Lp-spaces to the corresponding ones on those associated with finite von Neumann algebras. The main tool is an unpublished result of theâ€¦ (More)