CQ *-algebras of measurable operators

Autor: Triolo Salvatore
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Moroccan Journal of Pure and Applied Analysis, Vol 8, Iss 2, Pp 279-285 (2022)
Druh dokumentu: article
ISSN: 2351-8227
DOI: 10.2478/mjpaa-2022-0019
Popis: We study, from a quite general point of view, a CQ*-algebra (X, 𝖀0) possessing a sufficient family of bounded positive tracial sesquilinear forms. Non-commutative L2-spaces are shown to constitute examples of a class of CQ*-algebras and any abstract CQ*-algebra (X, 𝖀0) possessing a sufficient family of bounded positive tracial sesquilinear forms can be represented as a direct sum of non-commutative L2-spaces.
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