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Preservers for the -Norm of Linear Combinations of Positive Operators

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  • Gergő Nagy

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.

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  • Gergő Nagy, 2014. "Preservers for the -Norm of Linear Combinations of Positive Operators," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, April.
    • Handle: RePEc:hin:jnlaaa:434121
    DOI: 10.1155/2014/434121
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