Geometry of numerical ranges in locally \(m\)-convex *-algebras (Q1978078)
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scientific article; zbMATH DE number 1453200
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometry of numerical ranges in locally \(m\)-convex *-algebras |
scientific article; zbMATH DE number 1453200 |
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Geometry of numerical ranges in locally \(m\)-convex *-algebras (English)
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25 May 2000
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Summary: We examine the symmetry of numerical ranges in a unital locally \(m\)-convex \(C^*\)-algebra of a given element and its adjoint, with respect to a rotated real-axis, where the rotation angle depends on the value of the positive linear forms of the algebra (states) at the unit element of the algebra.
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\(k\)-states
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*-representations
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states
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symmetry of numerical ranges
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unital locally \(m\)-convex \(C^*\)-algebra
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rotation angle
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