A Helly theorem for functions with values in metric spaces
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12. Nov. 2012
Über diesen Artikel
Online veröffentlicht: 12. Nov. 2012
Seitenbereich: 159 - 168
DOI: https://doi.org/10.2478/v10127-009-0056-z
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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 continuous functions into a complete metric space.