Extensions of Lieb's concavity theorem
| dc.creator | Hansen, Frank | |
| dc.date | 2005-11-28 | |
| dc.date | 2006-07-14 | |
| dc.date.accessioned | 2026-07-07T06:50:34Z | |
| dc.date.available | 2026-07-07T06:50:34Z | |
| dc.description | The operator function (A,B)\to\tr f(A,B)(K^*)K, defined on pairs of bounded self-adjoint operators in the domain of a function f of two real variables, is convex for every Hilbert Schmidt operator K, if and only if f is operator convex. As a special case we obtain a new proof of Lieb's concavity theorem for the function (A,B)\to\tr A^pK^*B^{q}K, where p and q are non-negative numbers with sum p+q\le 1. In addition, we prove concavity of the operator function (A,B)\to \tr(A(A+μ_1)^{-1}K^* B(B+μ_2)^{-1}K) on its natural domain D_2(μ_1,μ_2), cf. Definition 4.1 | |
| dc.description | The format of one reference is changed such that CiteBase can identify it | |
| dc.identifier | https://arxiv.org/abs/math-ph/0511090 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0511090 | |
| dc.identifier | Journal of Statistical Physics, 124 (2006) 87-101 | |
| dc.identifier | doi:10.1007/s10955-006-9155-2 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104705 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Operator Algebras | |
| dc.title | Extensions of Lieb's concavity theorem | |
| dc.type | text |