Register to study through Unisa
| Honours |
Year module |
NQF level: 8 |
Credits: 12 |
| Module presented in English |
Module presented online |
| Pre-requisite: MAT4841 |
Co-requisite: MAT4841 |
| Recommendation: A solid understanding of metric spaces, normed and Banach spaces and inner product spaces. |
| Purpose: To enable learners to master and apply the more advanced theory of normed and Banach spaces. The four so-called 'corner stones' of functional analysis, namely the Hahn-Banach theorem, the Banach-Steinhaus theorem, the open mapping theorem and the closed graph theorem are studied. Spectral theory of bounded linear operators in normed spaces as well as some spectral theory in Banach algebras are studied since this is one of the main branches of modern functional analysi The spectral properties of compact linear operators are also studied.
|