The truncated tracial moment problem

Details The truncated tracial moment problem The truncated tracial moment problem

2010-01-20

arxiv.org/abs/1001.3679v1

Mathematics

Functional Analysis

21 pages

Scientific paper

We present tracial analogs of the classical results of Curto and Fialkow on moment matrices. A sequence of real numbers indexed by words in non-commuting variables with values invariant under cyclic permutations of the indexes, is called a tracial sequence. We prove that such a sequence can be represented with tracial moments of matrices if its corresponding moment matrix is positive semidefinite and of finite rank. A truncated tracial sequence allows for such a representation if and only if one of its extensions admits a flat extension. Finally, we apply the theory via duality to investigate trace-positive polynomials in non-commuting variables.

Affiliated with

Also associated with

No associations

Rating

The truncated tracial moment problem 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 The truncated tracial moment problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The truncated tracial moment problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-248465