Preservers for the \(p\)-norm of linear combinations of positive operators (Q1724116)
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scientific article; zbMATH DE number 7022383
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Preservers for the \(p\)-norm of linear combinations of positive operators |
scientific article; zbMATH DE number 7022383 |
Statements
Preservers for the \(p\)-norm of linear combinations of positive operators (English)
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14 February 2019
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Summary: We describe the structure of those transformations on certain sets of positive operators which preserve the \(p\)-norm of linear combinations with given nonzero real coefficients. These sets are the collection of all positive \(p\)th Schatten-class operators and the set of its normalized elements. The results of the work generalize, extend, and unify several former theorems.
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positive Schatten-class operators
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normalised elements
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