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Preservers for the p‐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 pth 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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Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:434121
DOI: 10.1155/2014/434121
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