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arXiv:2004.11708 [math.FA]AbstractReferencesReviewsResources

The spectrum of the restriction to an invariant subspace

Dimosthenis Drivaliaris, Nikos Yannakakis

Published 2020-04-24Version 1

Let $X$ be a Banach space, $A\in B(X)$ and $M$ be an invariant subspace of $A$. We present an alternative proof that, if the spectrum of the restriction of $A$ to $M$ contains a point that is in any given hole in the spectrum of $A$, then the entire hole is in the spectrum of the restriction.

Journal: Oper. Matrices 14 (2020) 261-264
Categories: math.FA
Subjects: 47A10, 47A15
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