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Weakly ordered a-commutative partial groups of linear operators densely defined on Hilbert space

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F13%3A00068754" target="_blank" >RIV/00216224:14310/13:00068754 - isvavai.cz</a>

  • Result on the web

    <a href="http://ctn.cvut.cz/ap/index.php?year=2013&idissue=86" target="_blank" >http://ctn.cvut.cz/ap/index.php?year=2013&idissue=86</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Weakly ordered a-commutative partial groups of linear operators densely defined on Hilbert space

  • Original language description

    The notion of a generalized effect algebra was presented as a generalization of effect algebra for an algebraic description of the structure of the set of all positive linear operators densely defined on Hilbert space with the usual sum of operators. Thestructure of the set of not only positive linear operators can be described with the notion of a weakly ordered partial commutative group (wop-group). Due to the non-constructive algebraic nature of the wop-group we introduce its stronger version calledweakly ordered partial a-commutative group (woa-group). We show that it describes the structure of not only positive linear operators as well.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/EE2.3.20.0051" target="_blank" >EE2.3.20.0051: Algebraic methods in Quantum Logic</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2013

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Acta Polytechnica

  • ISSN

    1210-2709

  • e-ISSN

  • Volume of the periodical

    Vol 53

  • Issue of the periodical within the volume

    3/2013

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    6

  • Pages from-to

    289-294

  • UT code for WoS article

  • EID of the result in the Scopus database