Tensor products of generalized \(B^\ast\)-algebras (Q401121)
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scientific article; zbMATH DE number 6334387
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Tensor products of generalized \(B^\ast\)-algebras |
scientific article; zbMATH DE number 6334387 |
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Tensor products of generalized \(B^\ast\)-algebras (English)
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26 August 2014
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unbounded operator algebras
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\(GB^\ast\)-algebra
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tensor product \(GB^\ast\)-algebra
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The authors consider tensor products of \(GB^*\)-algebras, which are suitable generalizations of \(C^*\)-algebras to the case where unbounded operators are to be used. In particular, they are relevant in quantum mechanical applications.NEWLINENEWLINEAfter reviewing some background material, examples of \(GB^*\)-algebras realized as topological tensor products are given. In particular, the authors introduce the notion of tensor product \(GB^*\)-algebras of two \(GB^*\)-algebras \(A_1[\tau_1]\) and \(A_2[\tau_2]\), consider some of their properties, and provide some examples.
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