Abstract
Lemma 8.1. Let A = Ui≥0 AA i be a space satisfying condition II, and f be a positive ultraweakly continuous (relative to H \( \hat \otimes \) H) linear form defined on Aid, such that mi = sup {f (B) ; 0 ≤ B ≤ Ai, B polynomial in A -1i } is finite for every i ≥ 0. Then, f has a unique positive ultraweakly continuous (relatively to D \( \hat \otimes \) D) extension to A.
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© 1985 D. Reidel Publishing Company, Dordretch, Holland
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Jurzak, J.P. (1985). The State Space. In: Unbounded Non-Commutative Integration. Mathematical Physics Studies, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5231-7_9
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DOI: https://doi.org/10.1007/978-94-009-5231-7_9
Publisher Name: Springer, Dordrecht
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