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.
TRAPANI C, TRIOLO S (2004). Representations of Certain Banach C*-modules. MEDITERRANEAN JOURNAL OF MATHEMATICS, 1(1), 441-461.
Representations of Certain Banach C*-modules
TRAPANI, Camillo
;TRIOLO, Salvatore
2004-01-01
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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