Maps on Hilbert space effect algebras preserving norms of operator means
Acta Scientiarum Mathematicarum（2018）
Abstract
We prove that every bijective transformation on the set of Hilbert space effects which preserves a symmetric norm of a given Kubo-Ando mean is necessarily implemented by either a unitary or an antiunitary operator.
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Key words
nonlinear preservers,Hilbert space effects,operator interval,Kubo Ando mean,order automorphism,unitary operator
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