Harmonic functional calculus in a quotient involutive Banach algebra. (Calcul fonctionnel harmonique dans une algèbre de Banach involutive quotient.)
The purpose of this paper is to introduce a harmonic functional calculus in order to generalize some extended versions of theorems of von Neumann, Heinz and Ky Fan.
The irreducible Hilbert space representations of a ⁎-algebra, the graded analogue of the Lie algebra of the group of plane motions, are classified up to unitary equivalence.