A Helly theorem for functions with values in metric spaces

Autor:	Peter Maličký, Miloslav Duchoň
Rok vydání:	2009
Předmět:	Discrete mathematics Helly's theorem symbols.namesake Real-valued function General Mathematics Injective metric space Hilbert space symbols Equicontinuity Fraňková–Helly selection theorem Metric differential Mathematics Convex metric space
Zdroj:	Tatra Mountains Mathematical Publications. 44:159-168
ISSN:	1210-3195
DOI:	10.2478/v10127-009-0056-z
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6bfa517b825585cafe782fd9da462748 https://doi.org/10.2478/v10127-009-0056-z Zobrazit plný text záznamu