Strong Projections in Hilbert Space and Quantum Logic
- Autores: Matvejchuk M.1, Vladova E.2
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Afiliações:
- Kazan National Research Technical University
- Moscow State Technical University of Civil Aviation
- Edição: Volume 40, Nº 10 (2019)
- Páginas: 1521-1531
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205733
- DOI: https://doi.org/10.1134/S1995080219100196
- ID: 205733
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Resumo
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.
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Sobre autores
M. Matvejchuk
Kazan National Research Technical University
Autor responsável pela correspondência
Email: Marjan.Matvejchuk@yandex.ru
Rússia, Kazan, 420111
E. Vladova
Moscow State Technical University of Civil Aviation
Autor responsável pela correspondência
Email: evv_03@mail.ru
Rússia, Moscow, 125993