A reflexivity theorem for weakly closed subspaces of operators
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 Trans. Amer. Math. Soc. 288 (1985), 139146 Request permission
Abstract:
It was proved in [4] that the ultraweakly closed algebras generated by certain contractions on Hilbert space have a remarkable property. This property, in conjunction with the fact that these algebras are isomorphic to ${H^\infty }$, was used in [3] to show that such ultraweakly closed algebras are reflexive. In the present paper we prove an analogous result that does not require isomorphism with ${H^\infty }$, and applies even to linear spaces of operators. Our result contains the reflexivity theorems of [3,2 and 9] as particular cases.References

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Additional Information
 © Copyright 1985 American Mathematical Society
 Journal: Trans. Amer. Math. Soc. 288 (1985), 139146
 MSC: Primary 47D15; Secondary 47A15
 DOI: https://doi.org/10.1090/S00029947198507730523
 MathSciNet review: 773052