# Operator Theory and Operator Algebras

Several members of our pure mathematics research group carry out work in this area.

## About operator theory and operator algebras

Linear operators, mainly on Hilbert space, have a highly developed theory, arising initially from classical mathematical physics. More recently, there have been many applications to engineering.

Algebraic properties of collections of operators first came to be important in quantum theory. Operator algebras have since come to play a fundamental role in several branches of mathematics. This is particularly where there is a need to analyse noncommutative generalisations of classical objects of study.