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A New Class of Maximal Triangular Algebras

Published online by Cambridge University Press:  03 May 2018

John Lindsay Orr*
Toll House, Traquair Road, Innerleithen EH44 6PF,


Triangular algebras, and maximal triangular algebras in particular, have been objects of interest for over 50 years. Rich families of examples have been studied in the context of many w*- and C*-algebras, but there remains a dearth of concrete examples in $B({\cal H})$. In previous work, we described a family of maximal triangular algebras of finite multiplicity. Here, we investigate a related family of maximal triangular algebras with infinite multiplicity, and unearth a new asymptotic structure exhibited by these algebras.

Research Article
Copyright © Edinburgh Mathematical Society 2018 

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