Automorphisms of the algebra of operators in p preserving conditioning
Ryszard Jajte
Colloquium Mathematicae, Tome 120 (2010), p. 263-266 / Harvested from The Polish Digital Mathematics Library
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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].

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:284143 
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     author = {Ryszard Jajte},
     title = {Automorphisms of the algebra of operators in $^{p}$ preserving conditioning},
     journal = {Colloquium Mathematicae},
     volume = {120},
     year = {2010},
     pages = {263-266},
     zbl = {1219.47141},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm120-2-6}
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Ryszard Jajte. Automorphisms of the algebra of operators in $^{p}$ preserving conditioning. Colloquium Mathematicae, Tome 120 (2010) pp. 263-266. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm120-2-6/