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Funktsional'nyi Analiz i ego Prilozheniya, 2013, Volume 47, Issue 3, Pages 90–96
DOI: https://doi.org/10.4213/faa3105
(Mi faa3105)
 

This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

A Representation Theorem for Quantum Systems

A. A. Dosi

Northern Cyprus Campus, Middle East Technical University, Turkey
Full-text PDF (184 kB) Citations (1)
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Abstract: In this note representations of quantum systems are investigated. We propose a unital bipolar theorem for unital quantum cones, which plays a key role in proving a representation theorem for quantum systems. It turns out that each quantum system is identified with a certain quantum $L^{\infty}$-system up to a quantum order isomorphism.
Keywords: quantum systems, unital quantum cones, quantum $L^{\infty}$-algebra.
Received: 18.05.2011
English version:
Functional Analysis and Its Applications, 2013, Volume 47, Issue 3, Pages 241–245
DOI: https://doi.org/10.1007/s10688-013-0031-y
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: A. A. Dosi, “A Representation Theorem for Quantum Systems”, Funktsional. Anal. i Prilozhen., 47:3 (2013), 90–96; Funct. Anal. Appl., 47:3 (2013), 241–245
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/faa3105
  • https://doi.org/10.4213/faa3105
  • https://www.mathnet.ru/eng/faa/v47/i3/p90
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Функциональный анализ и его приложения Functional Analysis and Its Applications
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    Abstract page:381
    Full-text PDF :186
    References:69
    First page:36
     
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