Spectral pictures of 2-variable weighted shifts
| dc.creator | Curto, Raul E. | |
| dc.creator | Yoon, Jasang | |
| dc.date | 2006-10-29 | |
| dc.date.accessioned | 2026-07-07T08:37:12Z | |
| dc.date.available | 2026-07-07T08:37:12Z | |
| dc.description | We study the spectral pictures of (jointly) hyponormal 2-variable weighted shifts with commuting subnormal components. By contrast with all known results in the theory of subnormal single and 2-variable weighted shifts, we show that the Taylor essential spectrum can be disconnected. We do this by obtaining a simple sufficient condition that guarantees disconnectedness, based on the norms of the horizontal slices of the shift. We also show that for every k >= 1 there exists a k-hyponormal 2-variable weighted shift whose horizontal and vertical slices have 1- or 2-atomic Berger measures, and whose Taylor essential spectrum is disconnected. | |
| dc.identifier | https://arxiv.org/abs/math/0610890 | |
| dc.identifier | http://arxiv.org/abs/math/0610890 | |
| dc.identifier | C. R. Acad. Sci. Paris, Ser I 343(2006), 579-584. | |
| dc.identifier | doi:10.1016/j.crma.2006.09.024 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140320 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.subject | 47A13; 47B37; 47B20; 32A07 | |
| dc.title | Spectral pictures of 2-variable weighted shifts | |
| dc.type | text |