An approach to F. Riesz representation Theorem

dc.creator	del Rio, Rafael
dc.creator	Franco, Asaf L.
dc.creator	Lara, Jose A.
dc.date	2018-07-31
dc.identifier	http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2045
dc.identifier	10.4067/S0719-06462018000200001
dc.description	In this note we give a direct proof of the F. Riesz representation theorem which characterizes the linear functionals acting on the vector space of continuous functions defined on a set K. Our start point is the original formulation of Riesz where K is a closed interval. Using elementary measure theory, we give a proof for the case K is an arbitrary compact set of real numbers. Our proof avoids complicated arguments commonly used in the description of such functionals.	en-US
dc.format	application/pdf
dc.language	eng
dc.publisher	Universidad de La Frontera. Temuco, Chile.	en-US
dc.relation	http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2045/1841
dc.source	CUBO, A Mathematical Journal; Vol. 20 No. 2 (2018); 01–12	en-US
dc.source	CUBO, A Mathematical Journal; Vol. 20 Núm. 2 (2018); 01–12	es-ES
dc.source	0719-0646
dc.source	0716-7776
dc.subject	Riesz representation theorem	en-US
dc.subject	positive linear functionals	en-US
dc.subject	Riemann Stieltjes integral	en-US
dc.title	An approach to F. Riesz representation Theorem	en-US
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion