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

Borut Zalar

International Journal of Mathematics and Mathematical Sciences, 1995, vol. 18, 1-6

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.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:203069

DOI: 10.1155/S0161171295000408

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