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Hypergroups of Integral Operators in Connection with Transformation Structures

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F07%3A%230001290" target="_blank" >RIV/60162694:G43__/07:#0001290 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Hypergroups of Integral Operators in Connection with Transformation Structures

  • Original language description

    This contribution is a continuation of the paper Noncomutative Join Spaces of Integral Operators and Related Hyperstructures (here not defined concepts can be found there). It uses the results from it and the fact that the basic group of integral operators contains an invariant subgroup, which allows us to obtain a closed, invertible, reflexive and normal subhypergroup of the target transposition hypergroup. We will construct a discrete transformation hypergroup---in fact an action of hypergroup of integral operators on the space of continuous functions, which are created by Fredholm integral equations of the second kind, as a phase set.

  • Czech name

    Hypergrupy integrálních operátorů ve vztahu s transformačními strukturami

  • Czech description

    Tento článek navazuje na článek Noncomutative Join Spaces of Integral Operators and Related Hyperstructures, využívá jeho výsledky a faktu, že základní grupa integrálních operátorů obsahuje invariantní podgrupu, což nám umožňuje získat uzavřenou, invertibilní, reflexivní a normální podhypergrupu cílové transpoziční hypergrupy.

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

  • Continuities

    V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Others

  • Publication year

    2007

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Advances in Military Technologies

  • ISSN

    1802-2308

  • e-ISSN

  • Volume of the periodical

    1

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    12

  • Pages from-to

    105-117

  • UT code for WoS article

  • EID of the result in the Scopus database