Operators near completely polynomially dominated ones and similarity problems
| dc.creator | Badea, C. | |
| dc.date | 2001-02-20 | |
| dc.date | 2002-06-07 | |
| dc.date.accessioned | 2026-07-07T04:40:16Z | |
| dc.date.available | 2026-07-07T04:40:16Z | |
| dc.description | Let T and C be two Hilbert space operators. We prove that if T is near, in a certain sense, to an operator completely polynomially dominated with a finite bound by C, then T is similar to an operator which is completely polynomially dominated by the direct sum of C and a suitable weighted unilateral shift. Among the applications, a refined Banach space version of Rota similarity theorem is given and partial answers to a problem of K. Davidson and V. Paulsen are obtained. The latter problem concerns CAR-valued Foguel-Hankel operators which are generalizations of the operator considered by G. Pisier in his example of a polynomial bounded operator not similar to a contraction. | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/math/0102160 | |
| dc.identifier | http://arxiv.org/abs/math/0102160 | |
| dc.identifier | J. Operator Th. 49(2003), 3-23. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60976 | |
| dc.subject | Functional Analysis | |
| dc.subject | 47A30 ; 46L07 | |
| dc.title | Operators near completely polynomially dominated ones and similarity problems | |
| dc.type | text |