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- W2480784246 abstract "In this paper, we characterize transformations on finite or infinite dimensional Hilbert spaces which preserve the Hilbert-Schmidt norms of just a special convex combination, that is, ||tρ+(1-t) σ||HS=||tO(ρ) +(1-t)O(σ)||HS for some t ∈ (0, 1). In particular, O preserves Hilbert-Schmidt norm of additivity, that is ||ρ+σ||HS=||O(ρ)+O(σ)||HS when we take α=1/2." @default.
- W2480784246 created "2016-08-23" @default.
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- W2480784246 date "2015-02-01" @default.
- W2480784246 modified "2023-09-23" @default.
- W2480784246 title "Preservers for Hilbert-Schmidt Norm of Convex Combinations" @default.
- W2480784246 doi "https://doi.org/10.6140/ap.9789860438437.009" @default.
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