Factorization of completely positive cocycles and the GNS construction of representations in Pontryagin spaces (Q1128378)
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scientific article; zbMATH DE number 1188102
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Factorization of completely positive cocycles and the GNS construction of representations in Pontryagin spaces |
scientific article; zbMATH DE number 1188102 |
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Factorization of completely positive cocycles and the GNS construction of representations in Pontryagin spaces (English)
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26 August 1998
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A certain analog of the GNS construction in the Pontryagin space \(\Pi_k\) is build up and its universality in the class of all max-representation almost hermitian algebras is proved. The question of decomposing such a representation as a ``direct'' sum of simpler terms is also considered.
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Pontryagin space
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GNS construction
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max-representation
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almost hermitian algebras
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