Date of Award
Master of Arts in Mathematics
Sarli, John, and Williams, Peter
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.
Schellhous, Thomas Daniel, "The Riesz representation theorem for linear functionals" (2010). Theses Digitization Project. 3866.