An infinite-dimensional generalization of Zenger%26apos;s lemma

作者：Drnovsek Roman^*

来源：Journal of Mathematical Analysis and Applications, 2012, 388(2): 1233-1238.

DOI：10.1016/j.jmaa.2011.11.018

• Norms
• Sequence spaces
• Arrow-Debreu model

We prove an infinite-dimensional generalization of Zenger%26apos;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.

• 出版日期2012-4-15