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The set of normalizers between von Neumann (or, more generally, reflexive) algebras A and B (that is, the set of all operators T such that T A T* ⊆ B and T* B T ⊆ A) possesses ‘local linear structure’: it is a union of reflexive linear spaces. We study such linear spaces, otherwise known as (w*-closed) Ternary Rings of Operators (TRO). A concrete description is provided for the case of bimodules over maximal abelian von Neumann algebras.
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This page is a summary of: NORMALIZERS OF OPERATOR ALGEBRAS AND REFLEXIVITY, Test´s Publication, March 2003, Oxford University Press (OUP),
DOI: 10.1112/s0024611502013837.
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