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A Helly theorem for functions with values in metric spaces
Title A Helly theorem for functions with values in metric spaces Par.title Hellyho veta pre funkcie s hodnotami v metrických priestoroch Author info Miloslav 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 Language English Country Slovak Republic systematics 519 Annotation Prezentujeme 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 Copy 16934 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.
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