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arXiv · 2502.20912

Hyperinvariant subspaces for trace class perturbations of normal operators and decomposability

Eva A. Gallardo-Gutiérrez·F. Javier González-Doña
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Abstract

We prove that a large class of trace-class perturbations of diagonalizable normal operators on a separable, infinite dimensional complex Hilbert space have non-trivial closed hyperinvariant subspaces. Moreover, a large subclass consists of decomposable operators in the sense of Colojoar\u{a} and Foia\c{s}.

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Eva A. Gallardo-Gutiérrez, F. Javier González-Doña. 2025-02-28. Hyperinvariant subspaces for trace class perturbations of normal operators and decomposability. https://arxiv.org/abs/2502.20912

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