The Curvature of a Single Operator on a Hilbert Space
| dc.creator | Parrott, Stephen | |
| dc.date | 2000-06-29 | |
| dc.date.accessioned | 2026-07-07T04:36:09Z | |
| dc.date.available | 2026-07-07T04:36:09Z | |
| dc.description | This note studies Arveson's curvature invariant for d-contractions specialized to the case d=1 of a single contraction operator on a Hilbert space. It establishes a formula which gives an easy-to-understand meaning for the curvature of a single contraction. The formula is applied to give an example of an operator with nonintegral curvature. Under the additional hypothesis that the contraction T be "pure", we show that its curvature K(T) is given by K(T) = - index(T) := -(dim ker T - dim coker T). | |
| dc.description | LaTeX, 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0006224 | |
| dc.identifier | http://arxiv.org/abs/math/0006224 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59499 | |
| dc.subject | Operator Algebras | |
| dc.subject | 47A13 (Primary); 47A20 (Secondary) | |
| dc.title | The Curvature of a Single Operator on a Hilbert Space | |
| dc.type | text |