Cones in the space of block-matrices
In the space Mm (Mn ) ofmxm block-matrices with entries in Mn three natural cones related to positivity are introduced. In this paper several known results related to positivity: dilation theorem, truncated moment theorems and the Fejer-Riesz theorem on factorization of positive polynomials, are app...
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| További közreműködők: | |
| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2013
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| Sorozat: | Acta scientiarum mathematicarum
79 No. 1-2 |
| Kulcsszavak: | Szőkefalvi-Nagy Béla, Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/30877 |
| Tartalmi kivonat: | In the space Mm (Mn ) ofmxm block-matrices with entries in Mn three natural cones related to positivity are introduced. In this paper several known results related to positivity: dilation theorem, truncated moment theorems and the Fejer-Riesz theorem on factorization of positive polynomials, are applied to derive interrelationships among those three cones. At the end of the paper, some form of matrix Schwarz inequalities is presented. The paper is largely of expository character. |
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| Terjedelem/Fizikai jellemzők: | 333-345 |
| ISSN: | 0001-6969 |