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Factorization of triangular operators and ideals through the diagonal*
Published online by Cambridge University Press: 20 January 2009
Abstract
We give a necessary and sufficient condition to determine when an operator in the nest algebra of doubly infinite block upper triangular operators factors through a diagonal projection. An example shows that this condition does not extend to more general nest algebras, but a similar criterion yields a description of the ideals of nest algebras generated by diagonal projections.
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- Research Article
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- Copyright © Edinburgh Mathematical Society 1997
Footnotes
Both authors were partially supported by NSF grant DMS-9204811.
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