Strong Projections in Hilbert Space and Quantum Logic
- 作者: Matvejchuk M.1, Vladova E.2
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隶属关系:
- Kazan National Research Technical University
- Moscow State Technical University of Civil Aviation
- 期: 卷 40, 编号 10 (2019)
- 页面: 1521-1531
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205733
- DOI: https://doi.org/10.1134/S1995080219100196
- ID: 205733
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详细
In the paper we study linear operators on complex Hilbert spaces which are strong real-orthogonal projections. It is a generalization of such standard (complex) orthogonal projections for which only the real part of scalar product vanishes. We compare order properties of the orthogonal and of the strong real-orthogonal projections. We prove that the set of all strong real-orthogonal the projections in the complex space is the quantum pseudo logic. We also prove an analogy of Gleason’s theorem.
作者简介
M. Matvejchuk
Kazan National Research Technical University
编辑信件的主要联系方式.
Email: Marjan.Matvejchuk@yandex.ru
俄罗斯联邦, Kazan, 420111
E. Vladova
Moscow State Technical University of Civil Aviation
编辑信件的主要联系方式.
Email: evv_03@mail.ru
俄罗斯联邦, Moscow, 125993