Remarks on the Structure of Dirichlet Forms on Standard Forms of von Neumann Algebras
| dc.creator | Park, Y. M. | |
| dc.date | 2004-01-03 | |
| dc.date.accessioned | 2026-07-07T04:30:51Z | |
| dc.date.available | 2026-07-07T04:30:51Z | |
| dc.description | For a von Neumann algebra M acting on a Hilbert space H with a cyclic and separating vector v, we investigate the structure of Dirichlet forms on the natural standard form associated with the pair (M,v). For a general Lindblad type generator L of a conservative quantum dynamical semigroup on M, we give sufficient conditions so that the operator S induced by L via the symmetric embedding of M into H to be self-adjoint. It turns out that the self-adjoint operator S can be written in the form of a Dirichlet operator associated to a Dirichlet form given in [23]. In order to make the connection possible, we also extend the range of applications of the formula in [23]. | |
| dc.identifier | https://arxiv.org/abs/math-ph/0401001 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0401001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57615 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Dynamical Systems | |
| dc.title | Remarks on the Structure of Dirichlet Forms on Standard Forms of von Neumann Algebras | |
| dc.type | text |