Normalizers of nest algebras

Coates, Keith

doi:10.1090/S0002-9939-98-04222-1

Normalizers of nest algebras
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by Keith J. Coates PDF

Proc. Amer. Math. Soc. 126 (1998), 159-165 Request permission

Erratum: Proc. Amer. Math. Soc. 126 (1998), 2511-2512.

Abstract:

For a nest $\mathcal {N}$ with associated nest algebra $\mathcal {A}_{\mathcal {N}}$, we define $\mathcal {S}_{\mathcal {N}}$, the normalizer of $\mathcal {A}_{\mathcal {N}}$. We develop a characterization of elements of $\mathcal {S}_{\mathcal {N}}$ based on certain order homomorphisms of $\mathcal {N}$ into itself. This characterization enables us to prove several structure theorems.

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