Sums of hermitian squares on pseudoconvex boundaries
| dc.contributor.author | Putinar, Mihai | deu |
| dc.contributor.author | Scheiderer, Claus | |
| dc.date.accessioned | 2013-05-16T09:43:27Z | deu |
| dc.date.available | 2013-05-16T09:43:27Z | deu |
| dc.date.issued | 2010 | deu |
| dc.description.abstract | We give an abstract characterization of all real algebraic subvarieties of complex affine space on which every positive polynomial is a sum of hermitian squares, and we find obstructions to this phenomenon. As a consequence we construct a strictly pseudoconvex domain with smooth algebraic boundary on which there exists a degree two positive polynomial which is not a sum of hermitian squares, answering thus in the negative a question of John D'Angelo. | eng |
| dc.description.version | published | |
| dc.identifier.citation | Mathematical Research Letters ; 17 (2010), 6. - S. 1047-1053 | deu |
| dc.identifier.uri | http://kops.uni-konstanz.de/handle/123456789/23294 | |
| dc.language.iso | eng | deu |
| dc.legacy.dateIssued | 2013-05-16 | deu |
| dc.rights | terms-of-use | deu |
| dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | deu |
| dc.subject.ddc | 510 | deu |
| dc.title | Sums of hermitian squares on pseudoconvex boundaries | eng |
| dc.type | JOURNAL_ARTICLE | deu |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @article{Putinar2010hermi-23294,
year={2010},
title={Sums of hermitian squares on pseudoconvex boundaries},
number={6},
volume={17},
issn={1073-2780},
journal={Mathematical Research Letters},
pages={1047--1053},
author={Putinar, Mihai and Scheiderer, Claus}
} | |
| kops.citation.iso690 | PUTINAR, Mihai, Claus SCHEIDERER, 2010. Sums of hermitian squares on pseudoconvex boundaries. In: Mathematical Research Letters. 2010, 17(6), pp. 1047-1053. ISSN 1073-2780. eISSN 1945-001X | deu |
| kops.citation.iso690 | PUTINAR, Mihai, Claus SCHEIDERER, 2010. Sums of hermitian squares on pseudoconvex boundaries. In: Mathematical Research Letters. 2010, 17(6), pp. 1047-1053. ISSN 1073-2780. eISSN 1945-001X | eng |
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<dcterms:abstract xml:lang="eng">We give an abstract characterization of all real algebraic subvarieties of complex affine space on which every positive polynomial is a sum of hermitian squares, and we find obstructions to this phenomenon. As a consequence we construct a strictly pseudoconvex domain with smooth algebraic boundary on which there exists a degree two positive polynomial which is not a sum of hermitian squares, answering thus in the negative a question of John D'Angelo.</dcterms:abstract>
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| kops.identifier.nbn | urn:nbn:de:bsz:352-232948 | deu |
| kops.sourcefield | Mathematical Research Letters. 2010, <b>17</b>(6), pp. 1047-1053. ISSN 1073-2780. eISSN 1945-001X | deu |
| kops.sourcefield.plain | Mathematical Research Letters. 2010, 17(6), pp. 1047-1053. ISSN 1073-2780. eISSN 1945-001X | deu |
| kops.sourcefield.plain | Mathematical Research Letters. 2010, 17(6), pp. 1047-1053. ISSN 1073-2780. eISSN 1945-001X | eng |
| kops.submitter.email | madeline.kreissner@uni-konstanz.de | deu |
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| source.identifier.issn | 1073-2780 | deu |
| source.periodicalTitle | Mathematical Research Letters |
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