A Helly theorem for functions with values in metric spaces

Miloslav Duchoň, Peter Maličký

Abstract


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.

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DOI: https://doi.org/10.2478/tatra.v44i0.48