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A Helly theorem for functions with values in metric spaces

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Tatra Mountains Mathematical Publications
Real Function ’08 Functional Equation, Measures, Integration and Harmonic Analysis
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Cita

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.

ISSN:
1210-3195
Lingua:
Inglese
Frequenza di pubblicazione:
3 volte all'anno
Argomenti della rivista:
Mathematics, General Mathematics