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Full-Text Articles in Mathematics
The Riesz Representation Theorem For Linear Functionals, Thomas Daniel Schellhous
The Riesz Representation Theorem For Linear Functionals, Thomas Daniel Schellhous
Theses Digitization Project
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.
Operations In Hilbert Space, Dennis Michael Gumaer
Operations In Hilbert Space, Dennis Michael Gumaer
Theses Digitization Project
This thesis reviews some of the major topics in elementary Hilbert space theory. The theory of operators is developed by providing details regarding several types of operators, in particular compact operators. This study of compact operators is the start of the refinement of bounded linear operators to those which are also members of the Schatten p-class operators.
A Study Of Optimization In Hilbert Space, John Awunganyi
A Study Of Optimization In Hilbert Space, John Awunganyi
Theses Digitization Project
No abstract provided.