Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



A reflexivity theorem for weakly closed subspaces of operators

Author: Hari Bercovici
Journal: Trans. Amer. Math. Soc. 288 (1985), 139-146
MSC: Primary 47D15; Secondary 47A15
MathSciNet review: 773052
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 47D15, 47A15

Retrieve articles in all journals with MSC: 47D15, 47A15

Additional Information

Article copyright: © Copyright 1985 American Mathematical Society