A note on rank-one operators in reflexive algebras
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- by Cecelia Laurie and W. E. Longstaff PDF
- Proc. Amer. Math. Soc. 89 (1983), 293-297 Request permission
Abstract:
It is shown that if the invariant subspace lattice of a reflexive algebra $\mathcal {A}$, acting on a separable Hilbert space, is both commutative and completely distributive, then the algebra generated by the rank-one operators of $\mathcal {A}$ is dense in $\mathcal {A}$ is any of the strong, weak, ultrastrong or ultraweak topologies. Some related density results are also obtained.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 89 (1983), 293-297
- MSC: Primary 47D25; Secondary 47A15, 47B10
- DOI: https://doi.org/10.1090/S0002-9939-1983-0712641-2
- MathSciNet review: 712641