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A New Class of Maximal Triangular Algebras

Published online by Cambridge University Press:  03 May 2018

John Lindsay Orr*
Affiliation:
Toll House, Traquair Road, Innerleithen EH44 6PF, UKme@johnorr.us

Abstract

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.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2018 

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