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Preservers for the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:math>-Norm of Linear Combinations of Positive Operators
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 …