Trace-positive polynomials, sums of hermitian squares and the tracial moment problem
| dc.contributor.author | Burgdorf, Sabine | |
| dc.date.accessioned | 2011-07-07T10:11:25Z | deu |
| dc.date.available | 2011-07-07T10:11:25Z | deu |
| dc.date.issued | 2011 | deu |
| dc.description.abstract | The objects of the present investigation are polynomials in non-commuting variables that have nonnegative trace under all matrix evaluations. Questions on the representability as a sum of hermitian squares are considered as well as the corresponding dual problem, the tracial moment problem. | eng |
| dc.description.version | published | |
| dc.identifier.ppn | 346987709 | deu |
| dc.identifier.uri | http://kops.uni-konstanz.de/handle/123456789/13980 | |
| dc.language.iso | eng | deu |
| dc.legacy.dateIssued | 2011-07-07 | deu |
| dc.rights | terms-of-use | deu |
| dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | deu |
| dc.subject | non-commutative polynomials | deu |
| dc.subject | moment problem | deu |
| dc.subject | trace | deu |
| dc.subject | sum of hermitian squares | deu |
| dc.subject.ddc | 510 | deu |
| dc.subject.gnd | Momentenproblem | deu |
| dc.subject.gnd | Spur | deu |
| dc.subject.gnd | Freie Algebra | deu |
| dc.subject.gnd | Quadratsumme | deu |
| dc.subject.gnd | Reelle Algebra | deu |
| dc.subject.msc | 44A60 15A45 11E25 | deu |
| dc.title | Trace-positive polynomials, sums of hermitian squares and the tracial moment problem | eng |
| dc.title.alternative | Spurpositive Polynome, Summen hermitescher Quadrate und das spurige Momentenproblem | deu |
| dc.type | DOCTORAL_THESIS | deu |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @phdthesis{Burgdorf2011Trace-13980,
year={2011},
title={Trace-positive polynomials, sums of hermitian squares and the tracial moment problem},
author={Burgdorf, Sabine},
address={Konstanz},
school={Universität Konstanz}
} | |
| kops.citation.iso690 | BURGDORF, Sabine, 2011. Trace-positive polynomials, sums of hermitian squares and the tracial moment problem [Dissertation]. Konstanz: University of Konstanz | deu |
| kops.citation.iso690 | BURGDORF, Sabine, 2011. Trace-positive polynomials, sums of hermitian squares and the tracial moment problem [Dissertation]. Konstanz: University of Konstanz | eng |
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| kops.date.examination | 2011-02-03 | deu |
| kops.description.abstract | Gegenstand der vorliegenden Untersuchung sind Polynome in nicht-kommutierenden Variablen, deren Spur unter allen Matrix-Auswertungen stets nichtnegativ ist. Hierbei werden Fragen der Darstellbarkeit als Summe hermitescher Quadrate sowie das entsprechende duale Problem, das spurige Momentenproblem, behandelt. | deu |
| kops.description.openAccess | openaccessgreen | |
| kops.flag.knbibliography | true | |
| kops.identifier.nbn | urn:nbn:de:bsz:352-139805 | deu |
| kops.submitter.email | sabine.burgdorf@uni-konstanz.de | deu |
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