Generalized B*-Algebras and Applications

This book reviews the theory of ''generalized B*-algebras'' (GB*-algebras), a class of complete locally convex *-algebras which includes all C*-algebras and some of their extensions. A functional calculus and a spectral theory for GB*-algebras is presented, together with results such as Ogasawara''s commutativity condition, Gelfand–Naimark type theorems, a Vidav–Palmer type theorem, an unbounded r...