A Helly theorem for functions with values in metric spaces
Duchoň, Miloslav ; Maličký, Peter
Tatra Mountains Mathematical Publications, Tome 45 (2010), / Harvested from Mathematical Institute
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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 continuos functions into a complete metric space.

Publié le : 2010-01-01
DOI : https://doi.org/10.2478/tatra.v44i0.48 
@article{48,
     title = {A Helly theorem for functions with values in metric spaces},
     journal = {Tatra Mountains Mathematical Publications},
     volume = {45},
     year = {2010},
     doi = {10.2478/tatra.v44i0.48},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/48}
}

Duchoň, Miloslav; Maličký, Peter. A Helly theorem for functions with values in metric spaces. Tatra Mountains Mathematical Publications, Tome 45 (2010) . doi : 10.2478/tatra.v44i0.48. http://gdmltest.u-ga.fr/item/48/