Transformations Preserving Norms of Means of Positive Operators and Nonnegative Functions

作者: Lajos Molnár , Patrícia Szokol

DOI: 10.1007/S00020-015-2241-6

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摘要: Motivated by recent investigations on norm-additive and spectrally multiplicative maps various spaces of functions, in this paper we determine all bijective transformations between the positive cones standard operator algebras over a Hilbert space which preserve given symmetric norm mean elements. A result similar spirit is also presented concerning nonnegative elements certain continuous functions.

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