Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Connes' embedding conjecture and sums of Hermitian squares - MaRDI portal

Connes' embedding conjecture and sums of Hermitian squares

From MaRDI portal
Publication:2470420

DOI10.1016/j.aim.2007.09.016zbMath1184.46055arXivmath/0607615OpenAlexW2025522466WikidataQ123344113 ScholiaQ123344113MaRDI QIDQ2470420

Markus Schweighofer, Igor Klep

Publication date: 14 February 2008

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607615




Related Items (43)

TSIRELSON'S PROBLEM AND KIRCHBERG'S CONJECTUREConic Approach to Quantum Graph Parameters Using Linear Optimization Over the Completely Positive Semidefinite ConeSemidefinite programming and sums of Hermitian squares of noncommutative polynomialsOperator Positivstellensätze for noncommutative polynomials positive on matrix convex setsBounds on entanglement dimensions and quantum graph parameters via noncommutative polynomial optimizationAsymptotics of unitary and orthogonal matrix integralsA tracial NullstellensatzMinimizer Extraction in Polynomial Optimization Is RobustAbout the Connes embedding conjectureAlgorithmic aspects of sums of Hermitian squares of noncommutative polynomialsTracial algebras and an embedding theoremSums of Hermitian squares decomposition of non-commutative polynomials in non-symmetric variables using NCSOStoolsOperator noncommutative functionsOn vector configurations that can be realized in the cone of positive matricesReal algebraic geometry with a view toward Koopman operator methods. Abstracts from the workshop held March 12--17, 2023A Characterization of Perfect Strategies for Mirror GamesGlobally trace-positive noncommutative polynomials and the unbounded tracial moment problemThe correlation numerical range of a matrix and Connes' embedding problemInvariant structure preserving functions and an Oka-Weil Kaplansky density type theoremThe tracial moment problem and trace-optimization of polynomialsNoncommutative nullstellensätze and perfect gamesAddendum to: ``Connes' embedding conjecture and sums of Hermitian squaresThe singular bivariate quartic tracial moment problemThe tracial moment problem on quadratic varietiesA note on values of noncommutative polynomialsAlgebraic reformulation of Connes embedding problem and the free group algebraPositive semidefinite quadratic forms on unitary matricesSum-of-squares results for polynomials related to the Bessis-Moussa-Villani conjecturePositive univariate trace polynomialsTrace-positive complex polynomials in three unitariesTrace-positive polynomials and the quartic tracial moment problemConstrained trace-optimization of polynomials in freely noncommuting variablesConvexity and Semidefinite Programming in Dimension-Free Matrix UnknownsSums of Hermitian squares and the BMV conjectureSums of Hermitian squares as an approach to the BMV conjectureNCSOStools: a computer algebra system for symbolic and numerical computation with noncommutative polynomialsOptimization over trace polynomialsLower bounds on matrix factorization ranks via noncommutative polynomial optimizationPositive maps and trace polynomials from the symmetric groupA note on the nonexistence of sum of squares certificates for the Bessis–Moussa–Villani conjecturetrace-positive non-commutative polynomialsThe Connes embedding problem: A guided tourOn matrix algebras associated to sum-of-squares semidefinite programs



Cites Work


This page was built for publication: Connes' embedding conjecture and sums of Hermitian squares