Representation of Positive Linear Functional
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Date
2011-01
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Addis Ababa University
Abstract
In analysis, if we consider thespace, the Riesz representation theorem states that, if is a bounded linear functional on spaces, with 1≤<∞ and μ be a -finite measure then there is unique element where 1=1 , such that
The main goal of this project is to extend this concept to a positive linear functional on the space of all continuous real valued function which have compact suppor)).
That’s if is a positive linear functional on where is locally compact Hausdorff space then there is a unique measure μ such that
for all.
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Representation f Positive Linear Functional