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Local quasinilpotence and common invariant subspaces

A Fernández Valles
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Abstract

In this article we obtain some positive results about the existence of a common nontrivial invariant subspace for $N$-tuples of not necessarily commuting operators on Banach spaces with a Schauder basis. The concept of joint quasinilpotence plays a basic role. Our results complement recent work by Kosiek \cite{6} and Ptak \cite{8}.

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A Fernández Valles. 2006-09-04. Local quasinilpotence and common invariant subspaces. https://arxiv.org/abs/math/0609088

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