Weights on partial *-algebras (Q1900355)
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scientific article; zbMATH DE number 811171
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weights on partial *-algebras |
scientific article; zbMATH DE number 811171 |
Statements
Weights on partial *-algebras (English)
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7 June 1998
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Partial *-algebras were introduced by \textit{J.-P. Antoine} and \textit{W. Karwowski} [Publ. Res. Inst. Math. Sci. 21, 205-236 (1985; Zbl 0609.47058)] and studied by two of the authors with F. Mathot and A. Inoue in a sequence of papers. These algebras may include closable unbounded operators. In the present paper certain sesquilinear forms on partial *-algebras are called weights (extending states) and a generalized Gel'fand-Naimark-Segal representation is constructed.
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weights
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partial *-algebras
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closable unbounded operators
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sesquilinear forms
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