| dc.creator | Chiumiento, Eduardo Hernán | |
| dc.creator | Maestripieri, Alejandra Laura | |
| dc.creator | Martínez Pería, Francisco Dardo | |
| dc.date | 2015-07 | |
| dc.date | 2020-07-17T18:59:16Z | |
| dc.date.accessioned | 2023-07-14T20:36:09Z | |
| dc.date.available | 2023-07-14T20:36:09Z | |
| dc.identifier | http://sedici.unlp.edu.ar/handle/10915/101041 | |
| dc.identifier | https://ri.conicet.gov.ar/11336/17759 | |
| dc.identifier | issn:1841-7744 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/7439879 | |
| dc.description | Let H be a Krein space with fundamental symmetry J. Along this paper, the geometric structure of the set of J-normal projections Q is studied. The group of J-unitary operators UJ naturally acts on Q. Each orbit of this action turns out to be an analytic homogeneous space of UJ, and a connected component of Q. The relationship between Q and the set E of J-selfadjoint projections is analized: both sets are analytic submanifolds of L(H) and there is a natural real analytic submersion from Q onto E, namely Q↦QQ#. The range of a J-normal projection is always a pseudo-regular subspace. Then, for a fixed pseudo-regular subspace S, it is proved that the set of J-normal projections onto S is a covering space of the subset of J-normal projections onto S with fixed regular part. | |
| dc.description | Facultad de Ciencias Exactas | |
| dc.format | application/pdf | |
| dc.format | 75-99 | |
| dc.language | en | |
| dc.rights | http://creativecommons.org/licenses/by-nc-sa/4.0/ | |
| dc.rights | Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) | |
| dc.subject | Matemática | |
| dc.subject | Normal operator | |
| dc.subject | Projection | |
| dc.subject | Krein space | |
| dc.subject | Submanifold | |
| dc.title | On the geometry of normal projections in Krein spaces | |
| dc.type | Articulo | |
| dc.type | Preprint | |
