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On the Unicellularity of Weighted Shifts
Published online by Cambridge University Press: 09 April 2009
Extract
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.
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- Copyright © Australian Mathematical Society 1971
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