Publications

A. Boudou and S. Viguier-Pla (2017)
Commutator of projectors and of unitary operators.


Classification

62H05, 15B52

Keywords

Projector, Unitary operator, Stationary process, spectral measure

Abstract : We define and study the concept of commutator for two projectors, for a projector and a unitary operator, and for two unitary operators. Then we state several properties of these commutators. We recall that projectors and unitary operators are linked with the spectral elements of stationary processes. We establish relations between these commutators and some other tools related to the proximity between processes.