FUNCTION SPACE
cod. 14842

Academic year 2009/10
3° year of course - First semester
Professor
Academic discipline
Analisi matematica (MAT/05)
Field
Formazione analitica
Type of training activity
Characterising
60 hours
of face-to-face activities
6 credits
hub: PARMA
course unit
in - - -

Learning objectives

To make the 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, Masson<br />
Some 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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