A positivstellensatz for non-commutative polynomials

Transactions of the American Mathematical Society

Volumn 356, Issue 9, 2004, Pages 3721-3737

  Helton, J William ^a   Mccullough, Scott A ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4344614199     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-04-03433-6     Document Type: Article

References (9)

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2. [AM] Agler, Jim and McCarthy John Featured talk by McCarthy at SEAM in Athens GA, 2001.
3. [BMprep] Ball, Joseph; Malakorn, Tanit; and Groenwalde, Gilbert, Conservative Structured Realizations, preprint.
4. [BCR] Bochnak, Jacek, Costi, Michel and Roy, Marie-Francoise, Real Algebraic Geometry, Springer, 1991, pp. 430. MR 2000a:14067
5. [H] Helton, J. William, "Positive" noncommutative polynomials are sums of squares, Annals of Math. vol. 56, no. 2, 2002, pp. 675-694.
6. [M] McCullough, Scott, Factorization of operator-valued polynomials in several non-commuting variables. Linear Algebra Appl. 326 (2001), no. 1-3, 193-203. MR 2002f:47035
7. [MP] McCullough, Scott and Putinar, Mihai, Non-commutative Sums of Squares, preprint.
8. [PV] Putinar, Mihai and Vasilescu, Florian-Horia, Solving moment problems by dimensional extension. Annals of Math. (2) 149 (1999), no. 3, 1087-1107. MR 2001c:47023b
9. [R] Rudin, Walter, Functional analysis, second edition, International Series in Pure and Applied Mathematics. McGraw-Hill, Inc., New York, 1991. xviii+424 pp. MR 92k:46001