The following topics will be covered:
1. Basic concepts of the Geometry of Banach spaces: approximation property,
basis, unconditional structures, ideals of p-summing operators, etc.
2. Illustration of these notions from classical Banach spaces: $\ell^p$, $L^p$,
$C(K)$, Hardy spaces $H^p$, disc algebra $A(D)$.
3. Introduction to spaces of differentiable functions: Sobolev spaces, functions
of bounded variation, $C^k$-functions.
4. Space of differentiable functions from the point of view of Banach space geometry.
Prerequisites: basic notions of functional analysis and of the theory distributions.
Lectures will take place at the Math Department.
SCHEDULE
Monday, March 27, 14.30-15.30, sala seminari
Thursday, March 30, 15-16, sala riunioni
Monday, April 3, 14.30-15.30, sala seminari
Thursday, April 27, 15-16, sala riunioni
The remaining lectures should take place in May 4, 8, 11.
http://cvgmt.sns.it/event/81/
When | Mon Mar 27 – Fri Apr 28, 2006 |