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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.

Keywords: nest algebra, ideal, Kadison-Singer, epimorhism

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