A Helly theorem for functions with values in metric spaces

Year, pages: 2009, 159 - 168

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.

Duchoň, M., Maličký, P. 2009. A Helly theorem for functions with values in metric spaces. In Tatra Mountains Mathematical Publications, vol. 44, no.3, pp. 159-168. 1210-3195.

Duchoň, M., Maličký, P. (2009). A Helly theorem for functions with values in metric spaces. Tatra Mountains Mathematical Publications, 44(3), 159-168. 1210-3195.