Pfister's theorem fails in the Hermitian case

Details Pfister's theorem fails in the Hermitian case Pfister's theorem fails in the Hermitian case

2010-10-15

arxiv.org/abs/1010.3215v2

Proceedings of the American Mathematical Society, 140 (2012), 1151-1157

Mathematics

Complex Variables

7 pages, to appear in Proc. Amer. Math. Soc., improved exposition in the proof

Scientific paper

10.1090/S0002-9939-2011-10841-4

We show that the Hermitian analogue of a famous result of Pfister fails. To
do so we provide a Hermitian symmetric polynomial $r$ of total degree 2d such
that any non-zero multiple of it cannot be written as a Hermitian sum of
squares with fewer than $d+1$ squares.

Affiliated with

Also associated with

No associations

Rating

Pfister's theorem fails in the Hermitian case 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 Pfister's theorem fails in the Hermitian case, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pfister's theorem fails in the Hermitian case will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-204401