On operator-valued free convolution powers

Details On operator-valued free convolution powers On operator-valued free convolution powers

2011-10-24

arxiv.org/abs/1110.5127v1

Mathematics

Operator Algebras

Scientific paper

We give an explicit realization of the $\eta$-convolution power of an $A$-valued distribution, as defined earlier by Anshelevich, Belinschi, Fevrier and Nica. If $\eta:A\to A$ is completely positive and $\eta\geq\operatorname{id}$, we give a short proof of positivity of the $\eta$-convolution power of a positive distribution. Conversely, if $\eta\not\geq\operatorname{id}$, and $s$ is large enough, we construct an $s$-tuple whose $A$-valued distribution is positive, but has non-positive $\eta$-convolution power.

Affiliated with

Also associated with

No associations

Rating

On operator-valued free convolution powers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On operator-valued free convolution powers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On operator-valued free convolution powers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-519689