An evaluating characterization of homomorphisms

Karim Boulabiar

Address: Département du Cycle Agrégatif IPEST, Université du 7 Novembre à Carthage BP 51, 2070-La Marsa, Tunisia

E-mail: karim.boulabiar@ipest.rnu.tn

Abstract: This work provides an evaluating complete description of positive homomorphisms on an arbitrary algebra of real-valued functions.

AMSclassification: primary 46E25; secondary 54C35.

Keywords: algebra of real-valued functions, evaluating linear functional, homomorphism, Lindelöf space.