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arXiv · 2006.10507

Invariant half-spaces for rank-one perturbations

Vladimir Muller
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Abstract

If T is a bounded linear operator acting on an infinite-dimensional Banach space, then there exists and operator F of rank at most one and arbitrarily small norm such that T-F has an invariant subspace of infinite dimension and codimension. This improves results of Tcaciuc and other authors.

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Vladimir Muller. 2020-06-18. Invariant half-spaces for rank-one perturbations. https://arxiv.org/abs/2006.10507

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