The GNS construction for positive invariant sesquilinear forms on quasi *-algebra (A, A0) is generalized to a class of positive sesquilinear maps from A×A into a C*-algebra C. The result is a *-representation taking values in a space of operators acting on a certain quasi-normed C-module.
Bellomonte, G., Ivković, S., Trapani, C. (2024). GNS Construction for C*-Valued Positive Sesquilinear Maps on a quasi *-algebra. MEDITERRANEAN JOURNAL OF MATHEMATICS, 21(5) [10.1007/s00009-024-02704-2].
GNS Construction for C*-Valued Positive Sesquilinear Maps on a quasi *-algebra
Bellomonte, Giorgia
;Trapani, Camillo
2024-08-05
Abstract
The GNS construction for positive invariant sesquilinear forms on quasi *-algebra (A, A0) is generalized to a class of positive sesquilinear maps from A×A into a C*-algebra C. The result is a *-representation taking values in a space of operators acting on a certain quasi-normed C-module.
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