# Operators, Spaces, Algebras, Modules 2010

## Lajos Molnár

### Title:

Isometries of metric spaces of functions and operators

### Abstract:

The study of the structure of surjective isometries among
certain classes of Banach spaces (e.g., sequence spaces, function spaces,
operator spaces, etc.) has continuously attracted the interest of many
researchers starting from the birth of Banach space theory. In this talk,
after a general introduction, we shall present several recent results on
the structure of isometries of linear or non-linear spaces of functions
and operators that appear in probability theory or in the mathematical
foundations of quantum mechanics.