8 citations · 9 across the 4 of their papers we have counts for
4 papers
On the Primitive Ideals of Nest Algebras
John Lindsay Orr
We show that Ringrose's diagonal ideals are primitive ideals in a nest algebra (subject to the Continuum Hypothesis). This provides for the first time concerete descriptions of eno…
A New Class of Maximal Triangular Aglebras
John Lindsay Orr
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 o…
The Maximal Two-Sided Ideals of Nest Algebras
John Lindsay Orr
We give a necessary and sufficient criterion for an operator in a nest algebra to belong to a proper two-sided ideal of that algebra. Using this result, we describe the strong radi…
The Stable Ideals of a Continuous Nest Algebra II
John Lindsay Orr
We continue the study of the rich family of norm-closed, automorphism invariant ideals of a continuous nest algebra. First we present a unified framework which captures all stable…