A Helly theorem in metric spaces and majored operations
Duchoň, Miloslav ; Maličný, Petr
Tatra Mountains Mathematical Publications, Tome 45 (2010), / Harvested from Mathematical Institute
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We present a generalization of a Helly type theoremgiven in [Ducho\v n,~M.---Mali\v ck\'y, P.:\textit{A Helly theorem for functions with values in metric spaces,}Tatra  Mt. Math. Publ. \textbf{44} (2010), 159--168.]for sequences of functions with values in  metric spaces and apply it torepresentations of some  majored mappings on the space of continuousfunctions. A generalization of the Riesz theorem is formulated and proved.In particular, a representation of certain majored linear operators on thespace of~continuous functions, into a Banach space.

Publié le : 2010-01-01
DOI : https://doi.org/10.2478/tatra.v46i0.72 
@article{72,
     title = {A Helly theorem in metric spaces and majored operations},
     journal = {Tatra Mountains Mathematical Publications},
     volume = {45},
     year = {2010},
     doi = {10.2478/tatra.v46i0.72},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/72}
}

Duchoň, Miloslav; Maličný, Petr. A Helly theorem in metric spaces and majored operations. Tatra Mountains Mathematical Publications, Tome 45 (2010) . doi : 10.2478/tatra.v46i0.72. http://gdmltest.u-ga.fr/item/72/