Decomposition of an order isomorphism between matrix-ordered Hilbert spaces
نویسندگان
چکیده
منابع مشابه
Decomposition of an Order Isomorphism between Matrix-ordered Hilbert Spaces
The purpose of this note is to show that any order isomorphism between noncommutative L2-spaces associated with von Neumann algebras is decomposed into a sum of a completely positive map and a completely copositive map. The result is an L2 version of a theorem of Kadison for a Jordan isomorphism on operator algebras.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2004
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-04-07454-4