A New Class of Maximal Triangular Aglebras
Operator Algebras
2017-05-22 v4
Abstract
Triangular algebras, and maximal triangular algebras in particular, have been objects of interest for over fifty 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(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 new asymptotic structure which these algebras exhibit.
Cite
@article{arxiv.1611.09297,
title = {A New Class of Maximal Triangular Aglebras},
author = {John Lindsay Orr},
journal= {arXiv preprint arXiv:1611.09297},
year = {2017}
}
Comments
Accepted for publication in the Proceedings of the Edinburgh Mathematical Society