Operators, Spaces, Algebras, Modules 2010

Isometries of metric spaces of functions and operators

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.