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 delo66190ISSN: 0161-1712UDK: 517.986OceCobissID: 25648128COBISS_ID: 8126724DOI: 10.1155/S0161171295000408ISSN pri članku: 0161-1712NUK URN: URN:SI:UM:DK:HWKRSWFKsl