An infinite-dimensional generalization of Zenger's lemma
classification
🧮 math.FA
keywords
generalizationinfinite-dimensionallemmazengerapplicationarrow-debreucontainedconvex
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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.
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