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Functional Analysis II - MAT4842

Honours Year module NQF level: 8 Credits: 12
Module presented in English Module presented online
Co-requisite: MAT4841
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.