March 25, 2024Open Access

GNS-construction for positive C-valued sesquilinear maps on a quasi -algebra

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Abstract

The GNS construction for positive invariant sesquilinear forms on quasi *-algebras is generalized to a class of positive C*-valued sesquilinear maps on quasi *-algebras. The result is a *-representation taking values in a space of operators acting on a certain quasi-normed C-module.

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Bellomonte et al. (Mon,) studied this question.

synapsesocial.com/papers/68e72771b6db6435876a153d https://doi.org/https://doi.org/10.1007/s00009-024-02704-2

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GNS-construction for positive C*-valued sesquilinear maps on a quasi *-algebra

Key Points

Abstract

Cite This Study

Also Consider

Also Consider

GNS-construction for positive C-valued sesquilinear maps on a quasi -algebra