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Representation of linear functionals by a trace on algebras of unbounded operators defined on dualmetrizable domains. (English) Zbl 0792.47047

Summary: A representation of linear continuous functionals on certain algebras of unbounded operators in Hilbert spaces as trace functionals is given for the case, where the domain of the algebra is a dualmetric space. This is complementary to the metric case, which was investigated some years ago.

MSC:

47L60 Algebras of unbounded operators; partial algebras of operators
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