Abstract
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 nonzero multiple of it cannot be written as a Hermitian sum of squares with fewer than d + 1 squares.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1151-1157 |
| Number of pages | 7 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 140 |
| Issue number | 4 |
| DOIs | |
| State | Published - Apr 2012 |
Keywords
- Hermitian forms
- Hermitian length
- Hilbert's 17-th problem
- Huang lemma
- Sums of squares
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics