A characterization of von Neumann algebras

Research output: Contribution to journalArticle

Abstract

In this paper a new type of *-algebras is introduced and investigated in detail to obtain a new characterization of von Neumann algebras. The main theorem (Theorem 5) supplies a characterization of the *-algebras *-isomorphic to von Neumann algebras, not assuming any previously given analytic property. This work fits to the bundle of research performed by outstanding mathematicians devoted to similar characterization problems (see [5], [6], [8], [16]).

Original languageEnglish
Pages (from-to)561-580
Number of pages20
JournalActa Scientiarum Mathematicarum
Volume76
Issue number3-4
Publication statusPublished - Dec 1 2010

Keywords

  • *-representation
  • C*-norm
  • GW*-algebra
  • Von neumann algebra

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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