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• W2068640804 abstract "In this paper we consider the following problem: Given a *-algebraA of unbounded operators, under what conditions is every strongly positive linear functionalf onA a trace functional, i.e. of the formf(a)=Trtta,a∈A, wheret is an appropriate positive nuclear operator. Further, the linear functionalsf onA which can be represented asf(a)=Trta (f andt not necessarily positive) are characterized by their continuity in a certain topology. Some applications (canonical commutation relations on the Schwartz space, integrable representations of enveloping algebras) are discussed." @default.
• W2068640804 created "2016-06-24" @default.
• W2068640804 creator A5043414475 @default.
• W2068640804 date "1978-06-01" @default.
• W2068640804 modified "2023-09-27" @default.
• W2068640804 title "On trace representation of linear functionals on unbounded operator algebras" @default.
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• W2068640804 doi "https://doi.org/10.1007/bf01220848" @default.
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