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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

A sufficient condition for hyperinvariance


Author: W. E. Longstaff
Journal: Proc. Amer. Math. Soc. 61 (1976), 26-28
MSC: Primary 47A15
DOI: https://doi.org/10.1090/S0002-9939-1976-0430820-5
MathSciNet review: 0430820
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Abstract: A linear transformation on a finite-dimensional complex linear space has the property that all of its invariant subspaces are hyperinvariant if and only if its lattice of invariant subspaces is distributive [1]. It is shown that an operator on a complex Hilbert space has this property if its lattice of invariant subspaces satisfies a certain distributivity condition.


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DOI: https://doi.org/10.1090/S0002-9939-1976-0430820-5
Article copyright: © Copyright 1976 American Mathematical Society

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