Operator Analogy of Quantum Pseudo-Logic

被引:1
|
作者
Matvejchuk M. [1 ]
机构
[1] Kazan National Research Technical University, ul. Karla Marksa 10, Kazan
关键词
Hilbert space; logic; partial order; projection; R-orthogonality;
D O I
10.1134/S1995080218010195
中图分类号
学科分类号
摘要
In this paper, we study linear operators on real and complex Euclidean spaces which are real-orthogonal projections. It is a generalization of such standard (complex) orthogonal projections for which only the real part of scalar product vanishes. We note the difference between properties of real-orthogonal projections on real and on complex spaces. We can compare some partial order properties of orthogonal and of real-orthogonal projections. We prove that the set of all real-orthogonal projections in a finite-dimensional complex or real space is a quantum pseudo-logic. © 2018, Pleiades Publishing, Ltd.
引用
收藏
页码:104 / 113
页数:9
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