Trace-class for a Hilbert module
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- by George R. Giellis PDF
- Proc. Amer. Math. Soc. 29 (1971), 63-68 Request permission
Abstract:
Let H be a Hilbert module over a proper ${H^ \ast }$-algebra A, and let $\tau (H) = \{ fa:f \in H,a \in A\}$. Then we define a Banach space norm on $\tau (H)$ so that the module operation is continuous with respect to both variables. $\tau (H)$ is shown to be the dual of a certain space of bounded operators from H to A, and the dual of $\tau (H)$ is also identified.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 29 (1971), 63-68
- MSC: Primary 46.65; Secondary 47.00
- DOI: https://doi.org/10.1090/S0002-9939-1971-0276783-2
- MathSciNet review: 0276783