Order automorphisms of the set of bounded observables
classification
🧮 math.OA
math-phmath.MP
keywords
boundedorderassumedautomorphismsbijectivecomplexcontinuitydenote
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Let H be a complex Hilbert space and denote by Bs(H) the set of all self-adjoint bounded linear operators on H. In this paper we describe the form of all bijective maps (no linearity or continuity is assumed) on Bs(H) which preserve the usual order in both directions.
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