Journal of Operator Theory
Volume 73, Issue 2, Spring 2015 pp. 407-416.
The maximal two-sided ideals of nest algebras
Authors:
John Lindsay Orr
Author institution:Google Inc., 1600 Amphitheatre Parkway, Mountain View, CA 94043, U.S.A.
Summary: 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 radical of a nest algebra, and give a general description
of the maximal two-sided ideals. This also enables us to provide the final
piece in the complete description of epimorphisms of one nest algebra onto
another.
DOI: http://dx.doi.org/10.7900/jot.2014ian06.2028
Keywords: nest algebra, ideal, Kadison-Singer, epimorhism
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