Giorgia Bellomonte, Stefan Ivković, Camillo Trapani
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GNS Construction for $$C^*$$ -Valued Positive Sesquilinear Maps on a quasi *-algebra
The GNS construction for positive invariant sesquilinear forms on quasi *-algebra \((\mathfrak A,{\mathfrak A}_{\scriptscriptstyle 0})\) is generalized to a class of positive sesquilinear maps from \(\mathfrak A\times \mathfrak A\) into a \(C^*\)-algebra \({\mathfrak {C}}\). The result is a *-representation taking values in a space of operators acting on a certain quasi-normed \({\mathfrak {C}}\)-module.
期刊介绍:
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.