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Trace-positive polynomials and the quartic tracial moment problem
Sabine Burgdorf, Igor Klep, 2010, original scientific article

Abstract: V članku podamo nekomutativno različico klasičnega Hilbertovega izreka o pozitivnih polinomih stopnje 4 v 2 spremenljivkah: nekomutativni polinom takšnega tipa, ki ima pozitivno sled, je vsota štirih hermitskih kvadratov in komutatorjev. S pomočjo dualnosti ta rezultat uporabimo za študij problema momentov s sledjo.
Keywords: matematika, nekomutativni polinom, sled, vsota hermitskih kvadratov, problem momentov, prosta pozitivnost, mathematics, noncommutative polynomial, trace, sum of hermitian squares, (truncated) moment problem, free positivity
Published in DKUM: 10.07.2015; Views: 1110; Downloads: 110
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