An infinite-dimensional generalization of Zenger's lemma
Functional Analysis
2016-08-14 v1
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.
Keywords
Cite
@article{arxiv.1111.2734,
title = {An infinite-dimensional generalization of Zenger's lemma},
author = {Roman Drnovšek},
journal= {arXiv preprint arXiv:1111.2734},
year = {2016}
}
Comments
The paper will appear in J. Math. Anal. Appl