Numerical range and compact convex sets (Q660476)
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scientific article; zbMATH DE number 6003024
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical range and compact convex sets |
scientific article; zbMATH DE number 6003024 |
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Numerical range and compact convex sets (English)
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3 February 2012
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A proof is given that the closure of the numerical range of the multiplication operator on \(L^2(\mu)\) is the support of \(\mu\). It is also remarked that, if the support of \(\mu\) has uncountably many extreme points, then the Berberian-Quigley Hilbert space extension of \(L^2(\mu)\) is not separable.
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numerical range
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compact convex sets
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\(C^*\)-algebra
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faithful representation
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