Spectral Order Automorphisms on Hilbert Space Effects and Observables: The 2-Dimensional Case

被引：0

作者：

Lajos Molnár

Gergő Nagy

机构：

[1] University of Szeged,Department of Analysis, Bolyai Institute

[2] University of Debrecen,MTA

来源：

Letters in Mathematical Physics | 2016年 / 106卷

关键词：

spectral order; effects; observables; Primary 47N50; 81R15; Secondary 47B49;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In the earlier paper (Molnár and Šemrl in Lett Math Phys 80:239–255, 2007), we described the structure of all spectral order automorphisms of the sets of Hilbert space effects and bounded observables in the case where the dimension of the underlying Hilbert space is at least 3. The aim of this note is to present a complete description in the missing two-dimensional case. We will see that in that case there is a one-to-one correspondence between the set of all spectral order automorphisms and the set of all bijective maps of pure states together with the set of all strictly increasing bijections of the real unit interval or the real line.

引用

页码：535 / 544

页数：9

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Uhlhorn U.(undefined)undefined undefined undefined undefined-undefined

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