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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Normalizers of nest algebras


Author: Keith J. Coates
Journal: Proc. Amer. Math. Soc. 126 (1998), 159-165
MSC (1991): Primary 47D25; Secondary 47D03
Erratum: Proc. Amer. Math. Soc. 126 (1998), no. 8, 2511 - 2512.
MathSciNet review: 1443818
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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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Additional Information

Keith J. Coates
Affiliation: Department of Mathematics, Illinois Wesleyan University, Bloomington, Illinois 61702
Email: kcoates@sun.iwu.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04222-1
PII: S 0002-9939(98)04222-1
Received by editor(s): June 26, 1996
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1998 American Mathematical Society