An infinite-dimensional generalization of Zenger's lemma
arXiv:1111.2734 · doi:10.1016/j.jmaa.2011.11.018
Abstract
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.
The paper will appear in J. Math. Anal. Appl