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WQ*-algebras of measurable operators

Author

Listed:
  • Salvatore Triolo

    (Automatica e modelli Matematici (DIEETCAM))

Abstract

Every C*-algebra $$\mathfrak{A}$$ has a faithful *-representation π in a Hilbert space $$\mathcal{H}$$ . Consequently it is natural to pose the following question: under which conditions, the completion of a C*-algebra in a weaker than the given one topology, can be realized as a quasi *-algebra of operators? The present paper presents the possibility of extending the well known Gelfand — Naimark representation of C*-algebras to certain Banach C*-modules.

Suggested Citation

  • Salvatore Triolo, 2012. "WQ*-algebras of measurable operators," Indian Journal of Pure and Applied Mathematics, Springer, vol. 43(6), pages 601-617, December.
    • Handle: RePEc:spr:indpam:v:43:y:2012:i:6:d:10.1007_s13226-012-0036-x
    DOI: 10.1007/s13226-012-0036-x
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    References listed on IDEAS

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    1. Lassner, Gerd, 1984. "Algebras of unbounded operators and quantum dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 124(1), pages 471-479.
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