Open Access

A Helly theorem for functions with values in metric spaces

Tatra Mountains Mathematical Publications's Cover Image
Tatra Mountains Mathematical Publications
Real Function ’08 Functional Equation, Measures, Integration and Harmonic Analysis

Cite

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
Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics