A Note On The Kadison-Singer Problem
| dc.creator | Akemann, Charles A. | |
| dc.creator | Tanbay, Betul | |
| dc.creator | Ulger, Ali | |
| dc.date | 2007-08-17 | |
| dc.date.accessioned | 2026-07-07T08:24:07Z | |
| dc.date.available | 2026-07-07T08:24:07Z | |
| dc.description | Let H be a separable Hilbert space with a fixed orthonormal basis (e_n), n>=1, and B(H) be the full von Neumann algebra of the bounded linear operators T: H -> H. Identifying l^\infty = C(βN) with the diagonal operators, we consider C(βN) as a subalgebra of B(H). For each t in βN, let [δ_t] be the set of the states of B(H) that extend the Dirac measure δ_t. Our main result shows that, for each t in βN, this set either lies in a finite dimensional subspace of B(H)* or else it must contain a homeomorphic copy of βN. | |
| dc.identifier | https://arxiv.org/abs/0708.2366 | |
| dc.identifier | http://arxiv.org/abs/0708.2366 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/136233 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L30, 46L05 | |
| dc.title | A Note On The Kadison-Singer Problem | |
| dc.type | text |