Geometry of oblique projections
| dc.creator | Andruchow, E. | |
| dc.creator | Corach, G. | |
| dc.creator | Stojanoff, D. | |
| dc.date | 1999-11-17 | |
| dc.date | 1999-11-18 | |
| dc.date.accessioned | 2026-07-07T05:31:40Z | |
| dc.date.available | 2026-07-07T05:31:40Z | |
| dc.description | Let A be a unital C*-algebra. Denote by P the space of selfadjoint projections of A. We study the relationship between P and the spaces of projections P_a determined by the different involutions #_a induced by positive invertible elements a in A. The maps f_p: P \to P_a sending p to the unique q in P_a with the same range as p and Ω_a: P_a \to P sending q to the unitary part of the polar decomposition of the symmetry 2q-1 are shown to be diffeomorphisms. We characterize the pairs of idempotents q, r in A with |q-r|<1 such that there exists a positive element a in A verifying that q, r are in P_a. In this case q and r can be joined by an unique short geodesic along the space of idempotents Q of A. | |
| dc.description | 25 pages, Latex, to appear in Studia Mathematica | |
| dc.identifier | https://arxiv.org/abs/math/9911133 | |
| dc.identifier | http://arxiv.org/abs/math/9911133 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79427 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L05; 46C99; 47B15; 53C22; 58B25 | |
| dc.title | Geometry of oblique projections | |
| dc.type | text |