%0 Journal Article %T An infinite-dimensional generalization of Zenger's lemma %A Roman Drnov\vsek %J Mathematics %D 2011 %I arXiv %R 10.1016/j.jmaa.2011.11.018 %X 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. %U http://arxiv.org/abs/1111.2734v1