Algebras with the spectral expansion property
Bruce Alan Barnes · Illinois Journal of Mathematics · 1967
We shall be concerned with algebras which have an iavolution . . is a proper involution if whenever vv* 0, then v 0. If A has an involution * and a norm Jl" such that w* v jj2 for all v e A, then we say that the norm II" has the B*-property.u e A is self-adioint if u u* and normal if U ? U, Now assume that A is a semi-simple modular annihilator algebra with a