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A Helly theorem for functions with values in metric spaces

  1. TitleA Helly theorem for functions with values in metric spaces
    Par.titleHellyho veta pre funkcie s hodnotami v metrických priestoroch
    Author infoMiloslav Duchoň, Peter Maličký
    Author Duchoň Miloslav (50%)
    Co-authors Maličký Peter 1956- (50%) UMBFP10 - Katedra matematiky
    Source document Tatra Mountains mathematical publications. Vol. 44, no. 3 (2009), pp. 159-168. - Bratislava : Slovenská akadémia vied, 2009 ; Summer Conference on Real Functions konferencia
    Keywords metrické priestory - metric spaces   normovaný vektorový priestor   vektorová funkcia   ohraničená variácia   majorizovaný operátor   normed vector space   vector function   bounded variations   majorized operator  
    LanguageEnglish
    CountrySlovak Republic
    systematics 519
    AnnotationPrezentujeme vetu Hellyho typu pre postupnosti funkcií s hodnotami v metrických priestoroch. Aplikujeme ju na reprezentácie niektorých zobrazení na priestore spojitých funkcií. Je formulované a dokázané zovšeobecnenie Rieszovej vety. Konkrétne, je skonštruovaná reprezentácia istých majorizovaných lineárnych operátorov na priestore spojitých funkcií s hodnotami v Banachovom prestore. We present a Helly type theorem for sequences of functions with values in metric spaces and apply it to representations of some mappings on the space of continuous functions. A generalization of the Riesz theorem is formulated and proved. More concretely, a representation of certain majored linear operators on the space of continuous functions into a Banach space
    Public work category AFD
    No. of Archival Copy16934
    Repercussion category ATHANASSIADOU, E. - BOCCUTO, A. - DIMITRIOU, X. - PAPANASTASSIOU, N. Ascoli-type theorems and ideal (alpha)-convergence. In Filomat. ISSN 0354-5180, 2012, vol. 26, no. 2, pp. 397-405.
    PHELPS, Chris - GONG, Qi - ROYSET, Johannes O. - KAMINER, Isaac. Consistent approximation of an optimal search problem. In 2012 IEEE 51st annual conference on decision and control (CDC). New York : IEEE, 2012. ISBN 978-1-4673-2066-5, pp. 630.
    PHELPS, Chris Ian - GONG, Qi - RØYSET, Johannes Ø - WALTON, Claire - KAMINER, Isaac I. Consistent approximation of a nonlinear optimal control problem with uncertain parameters. In Automatica. ISSN 0005-1098, 2014, vol. 50, no. 12, pp. 2987-2997.
    CRISMALE, Vito. Globally stable quasistatic evolution for a coupled elastoplastic-damage model. In ESAIM-control optimisation and calculus of variations. ISSN 1292-8119, 2016, vol. 22, no. 3, pp. 883-912.
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ
    ReferencesPERIODIKÁ-Súborný záznam periodika
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