An application of the Sakai's theorem to the characterization of H*-algebrasZalar, Borut (Avtor) mathematicsfunctional analysis▫$H^\ast$▫-algebrainvolutionautomorphismderivationcentralizervon Neumann algebraThe well-known Sakai's theorem, which states that every derivation acting on a von Neumann algebra is inner, is used to obtain a new elegant proof of the Saworotnow's characterization theorem for associative ▫$H^\ast$▫-algebras via two-sided ▫$H^\ast$▫-algebras. This proof completely avoids structure theory.19952017-06-14 11:44:11Znanstveno delo66190sl