The numerical range as a spectral set
Functional Analysis
2017-02-03 v1
Abstract
It is shown that the numerical range of a linear operator operator in a Hilbert space is a (complete) -spectral set. The proof relies, among other things, in the behavior of the Cauchy transform of the conjugates of holomorphic functions.
Cite
@article{arxiv.1702.00668,
title = {The numerical range as a spectral set},
author = {Michel Crouzeix and César Palencia},
journal= {arXiv preprint arXiv:1702.00668},
year = {2017}
}
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8 pages