FUNCTION SPACE
ACADEMIC YEAR2009/2010
COD. 14842
dati insegnamento:
DEGREE: MATEMATICA
TYPE OF COURSE: COMPULSORY SUBJECTS, CHARACTERISTIC OF THE CLASS
LECTURERS:
AROSIO Alberto Giorgio
ACADEMIC YEAR: 2009/2010
YEAR OF STUDY: 3
SEMESTER: First semester
NUMBER OF CREDITS: 6
UNIT COORDINATOR: AROSIO Alberto Giorgio
CONTACT HOURS: 60
INDIVIDUAL WORK HOURS: 90
Learning outcomes of the course unit
To make the student capable to reason in infinite dimension
Prerequisites
All the following courses:
Function of one variable A
Function of one variable B
Function of many variables A
Function of many variables B
Linear algebra and geometry
Topology and one complex variable
Course contents summary
Topological vector spaces, Banach spaces, Hilbert spaces, Lp spaces, convolution
Recommended readings
Brezis, Analyse Fonctionnelle, Masson
Some arguments will be taken from Rudin, Real and complex analysis
Teaching methods
Uses of trasparencies, direct questions to students during the lesson.
Euristic presentation when possible.
