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\(Qu^*\)-algebras and twisted product - MaRDI portal

\(Qu^*\)-algebras and twisted product (Q909973)

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scientific article; zbMATH DE number 4138602
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\(Qu^*\)-algebras and twisted product
scientific article; zbMATH DE number 4138602

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    \(Qu^*\)-algebras and twisted product (English)
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    1989
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    The Weyl quantization of classical observations leads to unbounded operators which cannot be multiplied in any cases. Minding this, the authors have defined \(Qu^*\)-algebras which are unbounded operators with partial multiplication, and shown the fundamental properties. Furthermore, the class of \(CQ^*\)-algebras, which are a natural generalization of \(C^*\)-algebras to the case of unbounded operators has been introduced.
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    Weyl quantization of classical observations
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    unbounded operators which cannot be multiplied
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    \(Qu^*\)-algebras
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    unbounded operators with partial multiplication
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