Order automorphisms of the set of bounded observables

Details Order automorphisms of the set of bounded observables Order automorphisms of the set of bounded observables

2001-08-08

arxiv.org/abs/math/0108058v1

Mathematics

Operator Algebras

19 pages. To appear in J. Math. Phys

Scientific paper

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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