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Henstock-Kurzweil and McShane product integration; Descriptive definitions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F08%3A00307424" target="_blank" >RIV/67985840:_____/08:00307424 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216208:11320/08:00206078

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Henstock-Kurzweil and McShane product integration; Descriptive definitions

  • Original language description

    Properties of the indefinite product integrals of the Henstock-Kurzweil and McShane type of an operator are studied in the paper. The indefinite McShane product integral is absolutely continuous. A matrix-valued function is McShane product integrable over an interval and the integral is invertible if and only if it is there Bochner integrable.

  • Czech name

    Henstockova-Kurzweilova a McShanova součinová integrace; deskriptivní definice

  • Czech description

    V práci jsou vyřešeny vlastnosti Henstockova-Kurzweilova a McShanova součinového integrálu operátoru. Neurčitý McShaneův součinový integrál matice je absolutně spojitý. Maticová funkce je v intervalu součinově integrovatelná v McShanově smyslu a integrálmá invertovatelnou hodnotu právě když je matice v intervalu integrovatelná v Bochnerově smyslu.

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/GA201%2F04%2F0690" target="_blank" >GA201/04/0690: Reimannian approach to integration in connection with classical mathematical analysis</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2008

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Czechoslovak Mathematical Journal

  • ISSN

    0011-4642

  • e-ISSN

  • Volume of the periodical

    58

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    29

  • Pages from-to

    241-269

  • UT code for WoS article

  • EID of the result in the Scopus database