Relative position of four subspaces in a Hilbert space
| dc.creator | Enomoto, Masatoshi | |
| dc.creator | Watatani, Yasuo | |
| dc.date | 2004-04-30 | |
| dc.date | 2004-08-16 | |
| dc.date.accessioned | 2026-07-07T05:07:49Z | |
| dc.date.available | 2026-07-07T05:07:49Z | |
| dc.description | The relative position of one subfactor of a factor has been proved quite rich since the work of Jones. We shall show that the theory of relative position of several subspaces of a separable infinite-dimensional Hilbert space is also rich. In finite-dimensonal case, Gelfand and Ponomarev gave a complete classification of indecomposable systems of four subspaces. We construct exotic examples of indecomposable systems of four subspaces in infinite-dimensional Hilbert spaces. We extend their Coxeter functors and defect using Fredholm index. There exist close connections with strongly irreducible operators and transitive lattices. | |
| dc.description | 48 pages,improved content for section 12 | |
| dc.identifier | https://arxiv.org/abs/math/0404545 | |
| dc.identifier | http://arxiv.org/abs/math/0404545 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71014 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.subject | 46C07 (Primary) 47A15, 16G60 (Secondary) | |
| dc.title | Relative position of four subspaces in a Hilbert space | |
| dc.type | text |