Modular Annihilator, A*-Algebras
Bohdan J. Tomiuk · Canadian Mathematical Bulletin · 1972
We find several equivalent conditions for an A*-algebra with dense socle to be completely continuous. Such an A*-algebra is modular annihilator [10]. We also study modular annihilator A*-algebras with the weak (βk)-property and obtain a necessary and sufficient condition for such algebras to be dual.