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Order and Spectrum Preserving Maps on Positive Operators
Published online by Cambridge University Press: 20 November 2018
Abstract
We describe the general form of surjective maps on the cone of all positive operators that preserve order and spectrum. The result is optimal as shown by counterexamples. As an easy consequence, we characterize surjective order and spectrum preserving maps on the set of all self-adjoint operators.
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- Copyright © Canadian Mathematical Society 2016
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