Coincidence of Schur multipliers of the Drury-Arveson space
In a purely multi-variable setting (i.e., the issues discussed in this note axe not interesting in the single-variable operator theory setting), we show that the coincidence of two operator-valued Schur class multipliers of a certain kind on the Drury-Arveson space is characterized by the fact that...
Elmentve itt :
| Szerzők: | |
|---|---|
| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2012
|
| Sorozat: | Acta scientiarum mathematicarum
78 No. 1-2 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16432 |
| Tartalmi kivonat: | In a purely multi-variable setting (i.e., the issues discussed in this note axe not interesting in the single-variable operator theory setting), we show that the coincidence of two operator-valued Schur class multipliers of a certain kind on the Drury-Arveson space is characterized by the fact that the associated colligations (or a variant, obtained canonically) are 'unitarily coincident' in a sense to be made precise in this article. |
|---|---|
| Terjedelem/Fizikai jellemzők: | 265-277 |
| ISSN: | 0001-6969 |