Join Maliheh Hosseini's course "Introduction to Banach Function Algebras" from May 21-24, 2024.
Maliheh Hosseini is an associate professor at The Khajeh Nasir Toosi University of Technology, Iran.
The course will be given in English.
It will take place on the following days (Paris time zone):
- Tuesday 21 May: 1:30pm - 3:30pm
- Wednesday 22 May: 1:30pm - 3:30pm
- Thursday 23 May: 1:30pm - 3:30pm
- Friday 24 May: 1:30pm - 3:30pm
You can attend the course onsite at the Centre de Recerca Matemàtica (Barcelona) - room C1028.
- Link to the registration: https://forms.office.com/pages/responsepage.aspx?id=2M-nc9QvsUyOgr_aSND…
- Contact for more information about participating onsite: crmactivitats@crm.cat
Or online on Zoom:
- Link to the registration: https://zoom.us/meeting/register/tJAldeGppzopEt2-keSHevnXRMS_QCeGKuQh#/… (Deadline: May 19)
Abstract: In this course, we first give an introduction to the general theory of Banach algebras and a description of the most important examples including the operator algebra $B(E)$, the function algebra $C_0(X)$, the disk algebra $A(\Bbb D)$, the Lipschitz algebra, the algebra of continuously differentiable functions and the group algebra. Then an attempt is made to mention several basic results on Banach algebras. A key idea is that of the spectrum of an element which generalizes the concept of the eigenvalues of a matrix. Moreover, the maximal ideal space (the character space) of a Banach algebra is introduced to cover the Gelfand theory for commutative Banach algebras. Then we concentrate on semisimple commutative Banach algebras (the socalled Banach function algebras). We introduce some basic concepts in the theory of function algebras like the Choquet boundary and strong boundary points. The final part of this course is devoted to the study of some significant classes of operators to make a connection between the algebraic and topological structures of these Banach algebras.
Please note that the CIMPA/ICTP courses will be recorded and broadcasted on our Youtube channel "CIMPA Math" and on carmin.tv.
CIMPA does not provide certificates of attendance for online courses.
This course will be filmed at CRM (Barcelona, Spain).