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Representations of Certain Banach C*-Modules

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Mediterranean Journal of Mathematics Aims and scope Submit manuscript

Abstract.

The possibility of extending the well known Gelfand–Naimark–Segal representation of *-algebras to certain Banach C*-modules is studied. For this aim the notion of modular biweight on a Banach C*-module is introduced. For the particular class of strict pre CQ*-algebras, two different types of representations are investigated.

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Authors and Affiliations

  1. Dipartimento di Matematica ed Applicazioni, Università di Palermo, I-90123, Palermo, Italy

    Camillo Trapani & Salvatore Triolo

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  1. Camillo Trapani
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  2. Salvatore Triolo
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Correspondence to Camillo Trapani.

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Trapani, C., Triolo, S. Representations of Certain Banach C*-Modules. MedJM 1, 441–461 (2004). https://doi.org/10.1007/s00009-004-0023-5

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  • DOI: https://doi.org/10.1007/s00009-004-0023-5

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