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On the Unicellularity of Weighted Shifts

Published online by Cambridge University Press:  09 April 2009

K. J. Harrison
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An operator acting on a Banach space is said to be unicellular if its lattice of invariant subspaces is totally ordered by inclusion. Each weighted shift on a sequence space has a natural totally ordered set of invariant subspaces, and is unicellular if these are its only invariant subspaces.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 12 , Issue 3 , August 1971 , pp. 342 - 350
Copyright
Copyright © Australian Mathematical Society 1971

References

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