Reordenamento em álgebras de representantes de relações de comutação

Abstract

The main objective of this work is to study commutation relations of the type AB = B F (A), where A and B are linear operators and F is a polynomial function, through bounded linear integral operators defined on L p spaces. The aim is to determine representatives and to present algebraic properties associated with the reordering of elements belonging to this algebra of representatives. Conditions are established on the kernels of the integral operators that ensure the validity of the commutation relation for general polynomials F