\(Qu^*\)-algebras and twisted product
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.
Weyl quantization of classical observations
unbounded operators which cannot be multiplied
unbounded operators with partial multiplication
scientific article; zbMATH DE number 4138602
scientific article