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Preprints, Working Papers, ... Year : 2014

Hyper invariant subspaces for some compact perturbations of multiplication operators

Hubert Klaja
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Abstract

In this paper, a sufficient condition for the existence of hyper invariant subspace of compact perturbations of multiplication operators on some Banach spaces is presented. An interpretation of this result for compact perturbations of normal and diagonal operators on Hilbert space is also discussed. An improvement of a result of [FX12] for compact perturbations of diagonal operators is also obtained.
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Dates and versions

hal-00863368 , version 1 (18-09-2013)
hal-00863368 , version 2 (08-01-2014)
hal-00863368 , version 3 (04-04-2014)

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Hubert Klaja. Hyper invariant subspaces for some compact perturbations of multiplication operators. 2014. ⟨hal-00863368v2⟩
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