### Abstract

In this paper we determine the structure of all bijective maps between the effect algebras of different von Neumann algebras which preserve mixtures in both directions. In particular, we obtain that every such preserver is a mixture isomorphism.

Original language | English |
---|---|

Pages (from-to) | 295-302 |

Number of pages | 8 |

Journal | Letters in Mathematical Physics |

Volume | 79 |

Issue number | 3 |

DOIs | |

Publication status | Published - Mar 2007 |

### Fingerprint

### Keywords

- Effect algebra
- Mixture
- Mixture isomorphisms
- Preservers

### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Letters in Mathematical Physics*,

*79*(3), 295-302. https://doi.org/10.1007/s11005-007-0141-7

**Mixture preserving maps on von Neumann algebra effects.** / Molnár, L.; Timmermann, Werner.

Research output: Contribution to journal › Article

*Letters in Mathematical Physics*, vol. 79, no. 3, pp. 295-302. https://doi.org/10.1007/s11005-007-0141-7

}

TY - JOUR

T1 - Mixture preserving maps on von Neumann algebra effects

AU - Molnár, L.

AU - Timmermann, Werner

PY - 2007/3

Y1 - 2007/3

N2 - In this paper we determine the structure of all bijective maps between the effect algebras of different von Neumann algebras which preserve mixtures in both directions. In particular, we obtain that every such preserver is a mixture isomorphism.

AB - In this paper we determine the structure of all bijective maps between the effect algebras of different von Neumann algebras which preserve mixtures in both directions. In particular, we obtain that every such preserver is a mixture isomorphism.

KW - Effect algebra

KW - Mixture

KW - Mixture isomorphisms

KW - Preservers

UR - http://www.scopus.com/inward/record.url?scp=33947372591&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33947372591&partnerID=8YFLogxK

U2 - 10.1007/s11005-007-0141-7

DO - 10.1007/s11005-007-0141-7

M3 - Article

AN - SCOPUS:33947372591

VL - 79

SP - 295

EP - 302

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 3

ER -