Maps Preserving Schatten -Norms of Convex Combinations

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

Abstract and Applied Analysis, 2014, vol. 2014, 1-5

Abstract:

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:520795

DOI: 10.1155/2014/520795

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