A Helly theorem for functions with values in metric spaces
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Open Access
|Nov 2012Abstract
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.
Language: English
Page range: 159 - 168
Published on: Nov 12, 2012
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 times per year
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© 2012 Miloslav Duchoň, Peter Maličký, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.