Continuity of the sequential product of sequential quantum effect algebras (Q2804982)
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scientific article; zbMATH DE number 6578048
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Continuity of the sequential product of sequential quantum effect algebras |
scientific article; zbMATH DE number 6578048 |
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Continuity of the sequential product of sequential quantum effect algebras (English)
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9 May 2016
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effect algebra
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sequential product
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continuity
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weak operator topology
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order topology, interval topology
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order convergence
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The authors study the continuity of the sequential product \(A \circ B = A^{1/2} B A^{1/2}\) of effects (positive operators bounded by the identity) on a complex separable Hilbert space. It is shown that the sequential product is jointly continuous with respect to the norm topology while continuous only in the second variable with respect to the weak operator, order and interval topologies and to the order convergence.
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