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- W4243260981 abstract "In this paper, we first show that any reflexive $mathcal{A}$-submodule $mathcal{U}$ of a unital operator algebra $mathcal{A}$ in $mathcal{B(H)}$ is precisely of the following form: $$mathcal{U} = { T in mathcal{B(H)}: TE subseteq phi(E) quad forall E in mathrm{Lat}mathcal{A} },$$ where $phi$ is an order homomorphism of $mathrm{Lat}mathcal{A}$ into itself. Furthermore we investigate the density of the rank-one submodule of a reflexive $mathcal{A}$-submodule in the $w^{*}$-topology and in certain pointwise approximation, and obtain several equivalent conditions by means of the order homomorphism $phi$." @default.
- W4243260981 created "2022-05-12" @default.
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- W4243260981 date "2005-09-01" @default.
- W4243260981 modified "2023-10-18" @default.
- W4243260981 title "RANK-ONE OPERATORS IN REFLEXIVE A-SUBMODULES OF OPERATOR ALGEBRAS" @default.
- W4243260981 doi "https://doi.org/10.11650/twjm/1500407846" @default.
- W4243260981 hasPublicationYear "2005" @default.
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