Learning objectives
To make to student capable to reason in infinite dimension
Prerequisites
All the following courses:<br />Function of one variable A<br />Function of one variable B<br />Function of many variables A<br />Function of many variables B<br />Linear algebra and geometry<br />Topology and one complex variable
Course unit content
<br /> Topological vector spaces, Banach spaces, Hilbert spaces, Lp spaces, convolution
Full programme
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Bibliography
Brezis, Analyse Fonctionnelle, MassonSome arguments will be taken from Rudin, Real and complex analysis
Teaching methods
Uses of trasparencies, direct questions to students during the lesson.<br />Euristic presentation when possible.
Assessment methods and criteria
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Other information
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