Abstract.
Let H be a Hilbert space and B s (H) the set of all self-adjoint bounded linear operators on H. We describe the general form of bijective maps \(\phi : B_{s}(H) \rightarrow B_{s}(H)\) which preserve comparability in both directions.
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This work was partially supported by a grant from the Ministry of Science of Slovenia.
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Šemrl, P. Comparability Preserving Maps on Bounded Observables. Integr. equ. oper. theory 62, 441–454 (2008). https://doi.org/10.1007/s00020-008-1627-0
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DOI: https://doi.org/10.1007/s00020-008-1627-0