Elsevier

Journal of Functional Analysis

Volume 158, Issue 1, 10 September 1998, Pages 242-252
Journal of Functional Analysis

Regular Article
Hyper-Reflexivity and the Factorization of Linear Functionals

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Abstract

It is shown that hyper-reflexivity of a space of linear operators on a Hilbert space follows from a factorization property of linear functionals continuous in the weak operator topology. This provides new examples of hyper-reflexive algebras and new proofs for the hyper-reflexivity of the noncommutative disk algebras.

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The author was supported in part by a grant from the National Science Foundation.

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