CIMAT, Fall 2020 and Fall 2021, Functional Analysis (18AFU01)

Latest Notes (November 23)

Instructor: Mohammad Jabbari, mohammad.jabbari@cimat.mx

Class Meeting: Tuesdays and Thursdays, 11-12:20, Because of Covid-19 the classes are online via http://meet.google.com/thp-typc-vhn.

Course Content: This is a standard graduate course on functional analysis.

Texts and References: I will follow my own notes which can be downloaded from the second line of this page. General references are W. Rudin, Functional analysis, Second edition, McGraw-Hill, 1991; P. Lax, Functional analysis, John Wiley and Sons, 2002; H. Brezis, Functional analysis, Sobolev spaces and partial differential equations, Springer, 2010; G. Pedersen, Analysis now, Springer, 1980.

Prerequisites: Basic point set topology + basic maturity in mathematics.

Grading: Working on a research paper or solving half of the exercises given during the course.

Other links:

• Stone-Weierstrass Theorem. Compare the two proofs of this important theorem. The first one is function theoretical (duo to M. Stone, taken from R. Douglas, Banach algebra techniques in operator theory, Second edition, Springer, 1998); the second one is functional theoretical (duo to L. de Branges, taken from P. Lax, cited above).