Preservers for the \(p\)-norm of linear combinations of positive operators. (English) Zbl 1472.47026

Nagy, Gergo

Abstr. Appl. Anal. 2014, Article ID 434121, 9 p. (2014).

Summary: 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.

MSC:

47B49	Transformers, preservers (linear operators on spaces of linear operators)
47L20	Operator ideals

Keywords:

positive Schatten-class operators; normalised elements

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