Unitarily invariant norms under which the map \(A\to| A|\) is Lipschitz continuous (Q1328880)
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scientific article; zbMATH DE number 597452
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unitarily invariant norms under which the map \(A\to| A|\) is Lipschitz continuous |
scientific article; zbMATH DE number 597452 |
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Unitarily invariant norms under which the map \(A\to| A|\) is Lipschitz continuous (English)
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29 June 1994
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Summary: We will characterize the unitarily invariant norms (for compact operators) under which the map \(A\to | A|= (A^* A)^{1/2}\) is Lipschitz-continuous. Although the map is not Lipschitz-continuous for the trace class norm, we will obtain a certain Lipschitz-type estimate by making use of the Macaev ideal.
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unitarily invariant norms
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compact operators
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Lipschitz-continuous
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trace class norm
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Lipschitz-type estimate
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Macaev ideal
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0.8965162
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0.89512885
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0.8744465
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0.8734918
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0.87305015
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0.8704602
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