Representation of Linear Functionals on Quasi-Continuous Functions
Joseph F. Vance and Charles A. Coppin
Source: Real Anal. Exchange Volume 34, Number 2 (2008), 429-444.
Abstract
We prove a representation theorem for bounded linear functionals with domain the set of all real-valued, quasi-continuous functions defined on a closed interval; thus, giving a characterization of a class of bounded linear functionals.
Primary Subjects: 26A42
Keywords: quasi-continuous functions; regulated functions; Stieltjes integral
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Permanent link to this document: http://projecteuclid.org/euclid.rae/1256835196
Real Analysis Exchange
