7CCMMS05 Metric and Banach Spaces
7CCMMS05T (MSc Programme)/ 7CCMMS05U (MSci Programme)
Lecturer: Professor Eugene Shargorodsky
Credit level: 7 Credit Value: 15
Mathematics MSci Fourth Year
Mathematics and Physics MSci Fourth Year
MSc Theoretical Physics
Advice/Help for this module is also available from: tbc
To discuss some fundamental aspects of functional analysis
Various topics to be discussed include metric spaces, continuous maps, normed spaces, completeness, bounded linear maps, Banach-Steinhaus theorem, compactness, Stone-Weierstrass theorem, Hahn-Banach theorem, the dual space. Instruction is by formal lectures.
Two hours of lectures per week plus one hour informal tutorial.
A rigorous analysis module (such as Real Analysis II or similar) and some knowledge of linear algebra.
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|2 hr written examination
Exercise sheets will be given out. Solutions handed in will be marked and difficulties discussed in class. In addition, it is essential that you work through the theory as the module progresses
Suggested reading/resource (link to My Reading Lists)
18 July 2017