当前位置: X-MOL 学术J. Phys. A: Math. Theor. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Continuous coexistency preservers on effect algebrasThe first author was supported by Leading Graduate Course for Frontiers of Mathematical Sciences and Physics (FMSP), and JSPS KAKENHI 19J14689, Japan. The second author was supported by Grants N1-0061, J1-8133, and P1-0288 from ARRS, Slovenia.
Journal of Physics A: Mathematical and Theoretical ( IF 2.1 ) Pub Date : 2020-12-09 , DOI: 10.1088/1751-8121/abcb44
Michiya Mori 1 , Peter Šemrl 2, 3
Affiliation  

Let H be a finite-dimensional Hilbert space, dim H ⩾ 2. We prove that every continuous coexistency preserving map on the effect algebra E(H) is either a standard automorphism of E(H), or a standard automorphism of E(H) composed with the orthocomplementation. We present examples showing the optimality of the result.



中文翻译:

效应代数上的连续共存保存器第一作者得到了数学科学与物理前沿研究生课程(FMSP)和日本JSPS KAKENHI 19J14689的支持。第二作者得到了来自斯洛文尼亚ARRS的Grants N1-0061,J1-8133和P1-0288的支持。

ħ是有限维Hilbert空间,昏暗 ħ ⩾2.我们证明,每个连续coexistency上的效果代数保留地图Èħ)是任一的标准构ëħ),或其中的标准构ëħ)与邻位互补组成。我们提供了显示结果最优性的示例。

更新日期:2020-12-09
down
wechat
bug