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Factorization of triangular operators and ideals through the diagonal*

Published online by Cambridge University Press:  20 January 2009

John Lindsay Orr  and
David R. Pitts
John Lindsay Orr
Affiliation:
Mathematics Department, University of Nebraska, Lincoln, NE 68588, USAE-mail address:jorr@unlinfo.unl.edu
David R. Pitts
Affiliation:
Mathematics Department, University of Nebraska, Lincoln, NE 68588, USAE-mail address:dpitts@unlinfo.unl.edu
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Abstract

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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.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 40 , Issue 2 , June 1997 , pp. 227 - 241
Copyright
Copyright © Edinburgh Mathematical Society 1997

Footnotes

*

Both authors were partially supported by NSF grant DMS-9204811.

References

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