Preservers for the p -Norm of Linear Combinations of Positive Operators

الملخص EN

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.