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In this paper, we determine the structure of Schatten p-norm additive maps on the set of positive invertible elements of a $$C^{*}$$C∗-algebra carrying a faithful normalized trace. It turns out… Click to show full abstract
In this paper, we determine the structure of Schatten p-norm additive maps on the set of positive invertible elements of a $$C^{*}$$C∗-algebra carrying a faithful normalized trace. It turns out that any such transformation originates from a Jordan $$^*$$∗-isomorphism of the underlying $$C^{*}$$C∗-algebra. In fact, our result can be viewed as a characterization of that sort of isomorphisms.
Keywords:
positive definite;
maps positive;
cone varvec;
additive maps;
norm additive;
definite cone
Journal Title: Results in Mathematics
Year Published: 2018
Link to full text (if available)
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Journal Title: Results in Mathematics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!