Preservers for the -Norm of Linear Combinations of Positive Operators

Gergő Nagy

Abstract and Applied Analysis, 2014, vol. 2014, 1-9

Abstract:

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:434121

DOI: 10.1155/2014/434121

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