On the invertibility of infinite dimensional matrices

Abstract:
There are several good reasons to be willing to enlarge the classical invertibility concept of infinite dimensional matrices. Some - and not the least - find their roots in the study itself of (generalized) symmetries of partial differential equations. In this talk I will propose a very natural definition for this extension (gamma-invertibility) and describe its main features. The concept of gamma-invertibility offers a great potential for new and profound researches. I will try to illustrate this last point with few examples.

This is a joint work with my colleague Richard Bourgin.