JournalsprimsVol. 9 , No. 1DOI 10.2977/prims/1195192739

On the Definition of C*-algebras

  • Huzihiro Araki

    Kyoto University, Japan
  • George A. Elliott

    University of Copenhagen, Denmark
On the Definition of C*-algebras cover

Abstract

It is shown that conditions ||x y|| ≤ ||x|| ||y|| and ||x*|| = ||x|| follow from the other axioms for C*-algebras.