Globally trace-positive noncommutative polynomials and the unbounded tracial moment problem

A noncommutative (nc ) polynomial is called (globally) trace-positive if its evaluation at any tuple of operators in a tracial von Neumann algebra has nonnegative trace. Such polynomials emerge as trace inequalities in several matrix or operator variables, and are widespread in mathematics and physi...

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Vydané v:	Mathematische annalen Ročník 387; číslo 3-4; s. 1403 - 1433
Hlavní autori:	Klep, Igor, Scheiderer, Claus, Volčič, Jurij
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2023 Springer Nature B.V
Predmet:	Algebra Bivariate analysis Commutators Hilbert space Mathematical analysis Mathematics Mathematics and Statistics Operators (mathematics) Optimization Polynomials Rational functions Sums 46L51 Primary 13J30 47L60 14P99 Secondary 47A63
ISSN:	0025-5831, 1432-1807
On-line prístup:	Získať plný text
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