JournalsprimsVol. 9, No. 1pp. 93–112

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
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Abstract

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

Cite this article

Huzihiro Araki, George A. Elliott, On the Definition of C*-algebras. Publ. Res. Inst. Math. Sci. 9 (1973), no. 1, pp. 93–112

DOI 10.2977/PRIMS/1195192739