Not all pure states on B(H) are diagonalizable

Details Not all pure states on B(H) are diagonalizable Not all pure states on B(H) are diagonalizable

2006-06-07

arxiv.org/abs/math/0606168v1

Mathematics

Operator Algebras

3 pages

Scientific paper

Assuming the continuum hypothesis, we prove that B(H) has a pure state whose
restriction to any masa is not pure. This resolves negatively an old conjecture
of Anderson.

Affiliated with

Also associated with

No associations

Rating

Not all pure states on B(H) are diagonalizable 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 Not all pure states on B(H) are diagonalizable, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Not all pure states on B(H) are diagonalizable will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-698452