Moment problems for operator polynomials

DOI10.1016/j.jmaa.2012.12.027zbMath1283.47019arXiv1209.1492OpenAlexW2059309367MaRDI QIDQ1941357

Aljaž Zalar, Jakob Cimprič

Publication date: 12 March 2013

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.1492

zbMATH Keywords

spectral measurePositivstellensatzoperator valued moment problem

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Moment problems and interpolation problems in the complex plane (30E05) Moment problems (44A60) Semialgebraic sets and related spaces (14P10) Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) (46G99)

Related Items (14)

Bounding the separable rank via polynomial optimization ⋮ Operator Positivstellensätze for noncommutative polynomials positive on matrix convex sets ⋮ The strong truncated Hamburger moment problem with and without gaps ⋮ A real nullstellensatz for free modules ⋮ Finsler's lemma for matrix polynomials ⋮ Some positivstellensätze for polynomial matrices ⋮ A note on nondegenerate matrix polynomials ⋮ The singular bivariate quartic tracial moment problem ⋮ Handelman's Positivstellensatz for polynomial matrices positive definite on polyhedra ⋮ Non-negative spectral measures and representations of \(C^\ast\)-algebras ⋮ The tracial moment problem on quadratic varieties ⋮ Matrix Fejér-Riesz theorem with gaps ⋮ Tracial moment problems on hypercubes ⋮ Positivstellensätze for polynomial matrices

This page was built for publication: Moment problems for operator polynomials