27 mar 2006 - 28 apr 2006   [open in google calendar]

Prof. Michal Wojciechowski (Polish Academy of Science) will give a series talks intended as an introduction (on the level of graduate students) to the Geometry of Banach spaces and some application to spaces of differentiable functions.

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.

Speakers: Michal Wojciechowski.