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Automorphisms of the algebra of operators in p preserving conditioning

Ryszard Jajte (2010)

Colloquium Mathematicae

Let α be an isometric automorphism of the algebra p of bounded linear operators in p [ 0 , 1 ] (p ≥ 1). Then α transforms conditional expectations into conditional expectations if and only if α is induced by a measure preserving isomorphism of [0, 1].

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