Trace-Class for a Hilbert Module

George R. Giellis
1971 Proceedings of the American Mathematical Society  
Let if be a Hilbert module over a proper Zf*-algebra A, and let t(H) = {fa:fGH, aGA}. Then we define a Banach space norm on riH) so that the module operation is continuous with respect to both variables. r(if) is shown to be the dual of a certain space of bounded operators from H to A, and the dual of riH) is also identified.
doi:10.2307/2037672 fatcat:mffvhyd2jbe4hj5q4y3r6o6asa