Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local quasinilpotence and common invariant subspaces   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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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
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The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph