Date of Award
2010
Document Type
Thesis
Degree Name
Master of Arts in Mathematics
Department
Mathematics
First Advisor
Kakihara, aYuichiro
Second Advisor
Dunn, Corey
Third Advisor
Sarli, John, and Williams, Peter
Abstract
This study will investigate the Riesz representation theorem for linear functionals in relation to locally compact Hausdorff spaces. Two other theorems that are commonly called "Riesz representation theorem" are the theorem for finite-dimensional inner product spaces and the theorem for Hilbert spaces [BN00], and studying these interesting topics helps us to not only gain a better understanding of how linear functionals interact with vector spaces over which they are defined, but also to see faint threads that hint at a deep connection between the various fields of modern mathematics.
Recommended Citation
Schellhous, Thomas Daniel, "The Riesz representation theorem for linear functionals" (2010). Theses Digitization Project. 3866.
https://scholarworks.lib.csusb.edu/etd-project/3866
