Strong-principal bimodules of nest algebras

Gong, Wei Bang; Zhu, Jun

doi:10.1090/S0002-9939-1992-1081091-X

Strong-principal bimodules of nest algebras
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by Wei Bang Gong and Jun Zhu PDF

Proc. Amer. Math. Soc. 115 (1992), 435-440 Request permission

Abstract:

We shall show that $B(H)$ can be represented by the strong closure of the linear span of the compounds of a fixed operator in $B(H)$ and the rank one operators, composed only by the vectors of a certain orthonormal basis of $H$, in a nest algebra, even, under some assumption, in the radical of a nest algebra.

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