Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592881 | Journal of Functional Analysis | 2006 | 17 Pages |
Abstract
We prove some new results on Hadwin's general version of reflexivity that reduce the study of E-reflexivity (or E-hyperreflexivity) of a linear subspace to a smaller linear subspace. By applying our abstract results, we present a simple proof of D. Hadwin's theorem, which states that every C∗-algebra is approximately hyperreflexive. We also prove that the image of any C∗-algebra under any bounded unital homomorphism into the operators on a Banach space is approximately reflexive. We introduce a new version of reflexivity, called approximate algebraic reflexivity, and study its properties.
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