Some new equivalences of Anderson's paving conjectures

Details Some new equivalences of Anderson's paving conjectures Some new equivalences of Anderson's paving conjectures

2007-06-18

arxiv.org/abs/0706.2644v2

Mathematics

Operator Algebras

Typos corrected, references added

Scientific paper

Anderson's paving conjectures are known to be equivalent to the Kadison-Singer problem. We prove some new equivalences of Anderson's conjectures that require the paving of smaller sets of matrices. We prove that if the strictly upper triangular operatorss are pavable, then every 0 diagonal operator is pavable. This result follows from a new paving condition for positive operators. In addition, we prove that if the upper triangular Toeplitz operators are paveable, then all Toeplitz operators are paveable.

Affiliated with

Also associated with

No associations

Rating

Some new equivalences of Anderson's paving conjectures 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 Some new equivalences of Anderson's paving conjectures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some new equivalences of Anderson's paving conjectures will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-610273