International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 2, Pages 317-322
doi:10.1155/S0161171295000408

An application of the Sakai's theorem to the characterization of H*-algebras

Abstract

The 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*-algebras via two-sided H*-algebras. This proof completely avoids structure theory.