Article
MSC:
15A60,
47A12,
47H09,
47H12,
47H17,
47H99,
47J10,
47J25,
47J99,
65F99 | MR 1780691 | Zbl 0940.47052 | DOI: 10.21136/MB.1999.126249
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Keywords:
nonlinear operator; Lipschitz continuity; spectrum; numerical range; convex hull; polynomial hull
nonlinear operator; Lipschitz continuity; spectrum; numerical range; convex hull; polynomial hull
Summary:
We discuss some numerical ranges for Lipschitz continuous nonlinear operators and their relations to spectral sets. In particular, we show that the spectrum defined by Kachurovskij (1969) for Lipschitz continuous operators is contained in the so-called polynomial hull of the numerical range introduced by Rhodius (1984).
References:
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