### Abstract

The set of all effects on a Hilbert space has an affine structure (it is a convex set) as well as a multiplicative structure (it can be equipped with the so-called Jordan triple product). In this paper we describe the corresponding automorphisms of that set.

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

Pages (from-to) | 37-45 |

Number of pages | 9 |

Journal | Letters in Mathematical Physics |

Volume | 51 |

Issue number | 1 |

Publication status | Published - Jan 1 2000 |

### Fingerprint

### Keywords

- Automorphism
- Effect algebra
- Factor
- Hilbert space
- Operator algebra

### ASJC Scopus subject areas

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

### Cite this

*Letters in Mathematical Physics*,

*51*(1), 37-45.

**On some automorphisms of the set of effects on Hilbert space.** / Molnár, L.

Research output: Contribution to journal › Article

*Letters in Mathematical Physics*, vol. 51, no. 1, pp. 37-45.

}

TY - JOUR

T1 - On some automorphisms of the set of effects on Hilbert space

AU - Molnár, L.

PY - 2000/1/1

Y1 - 2000/1/1

N2 - The set of all effects on a Hilbert space has an affine structure (it is a convex set) as well as a multiplicative structure (it can be equipped with the so-called Jordan triple product). In this paper we describe the corresponding automorphisms of that set.

AB - The set of all effects on a Hilbert space has an affine structure (it is a convex set) as well as a multiplicative structure (it can be equipped with the so-called Jordan triple product). In this paper we describe the corresponding automorphisms of that set.

KW - Automorphism

KW - Effect algebra

KW - Factor

KW - Hilbert space

KW - Operator algebra

UR - http://www.scopus.com/inward/record.url?scp=0003093374&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0003093374&partnerID=8YFLogxK

M3 - Article

VL - 51

SP - 37

EP - 45

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 1

ER -