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Lomonosov's hyperinvariant subspace theorem for real spaces

Published online by Cambridge University Press:  24 October 2008

N. D. Hooker
N. D. Hooker
Affiliation:
St John's College, Cambridge
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Extract

In 1973, V.I.Lomonosov introduced a new technique for finding invariant and hyperinvariant subspaces for certain classes of (continuous, linear) operators on complex Banach spaces. Recall that a closed subspace M of the Banach space X is called hyperinvariant for the operator T if S(M) ⊂ M for every operator S which commutes with T.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 89 , Issue 1 , January 1981 , pp. 129 - 133
Copyright
Copyright © Cambridge Philosophical Society 1981

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References

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