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Maps Preserving Schatten-Norms of Convex Combinations

David Li-Wei Kuo Ming-Cheng Tsai Ngai-Ching Wong Jun Zhang

Functional Analysis mathscidoc:1910.43726

Abstract and Applied Analysis, 2014, 2014
We study maps of positive operators of the Schatten -classes (), which preserve the -norms of convex combinations, that is, . They are exactly those carrying the form for a unitary or antiunitary . In the case , we have the same conclusion whenever it just holds for all the positive Hilbert-Schmidt class operators of norm . Some examples are demonstrated.
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@inproceedings{david2014maps,
  title={Maps Preserving Schatten-Norms of Convex Combinations},
  author={David Li-Wei Kuo, Ming-Cheng Tsai, Ngai-Ching Wong, and Jun Zhang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020212031983198255},
  booktitle={Abstract and Applied Analysis},
  volume={2014},
  year={2014},
}
David Li-Wei Kuo, Ming-Cheng Tsai, Ngai-Ching Wong, and Jun Zhang. Maps Preserving Schatten-Norms of Convex Combinations. 2014. Vol. 2014. In Abstract and Applied Analysis. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020212031983198255.
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