A Helly theorem for functions with values in metric spaces

Miloslav Duchoň; Peter Maličký

doi:10.2478/v10127-009-0056-z

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A Helly theorem for functions with values in metric spaces

Tatra Mountains Mathematical Publications

Volume 44 (2009): Issue 1 (December 2009)

By: Miloslav Duchoň and Peter Maličký

Open Access

|Nov 2012

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 continuous functions into a complete metric space.

References

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Articles in this issue

DOI: https://doi.org/10.2478/v10127-009-0056-z | Journal eISSN: 1338-9750 | Journal ISSN: 12103195

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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: 1 issue 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.

Volume 44 (2009): Issue 1 (December 2009)