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An infinite-dimensional generalization of Zenger's lemma

We prove an infinite-dimensional generalization of Zenger's lemma that was used in the proof of the fact that the convex hull of the point spectrum of a linear operator is contained in its numerical range. Two relevant examples are given, and possible application in the Arrow-Debreu model is also discussed.

preprint2011arXivOpen access
Roman Drnovšek
math.FA
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Roman Drnovšek

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