WQ*-algebras of measurable operators

Salvatore Triolo ()
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Salvatore Triolo: Automatica e modelli Matematici (DIEETCAM)

Indian Journal of Pure and Applied Mathematics, 2012, vol. 43, issue 6, 601-617

Abstract: 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.

Keywords: CQ*-algebra; WQ*-algebra; monotone closed; modular representation (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s13226-012-0036-x

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