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The “Up-Down” Problem For Operator Algebras

It is shown that for any C(*)-algebra A of operators on a separable Hilbert space, there is, for each self-adjoint operator x in the strong closure of A, a sequence {x(n)} of self-adjoint operators, each of which is the strong limit of a monotone increasing sequence of self-adjoint operators from A,...

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Pubblicato in:Proc Natl Acad Sci U S A
Autore principale: Pedersen, Gert K.
Natura: Artigo
Lingua:Inglês
Pubblicazione: National Academy of Sciences 1971
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Accesso online:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC389316/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16578714/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.68.8.1896
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