An infinite-dimensional generalization of Zenger's lemma

Details An infinite-dimensional generalization of Zenger's lemma An infinite-dimensional generalization of Zenger's lemma

2011-11-11

arxiv.org/abs/1111.2734v1

Mathematics

Functional Analysis

The paper will appear in J. Math. Anal. Appl

Scientific paper

10.1016/j.jmaa.2011.11.018

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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