Alcune osservazioni sul rango numerico per operatori non lineari
Mathematica Bohemica, Tome 124 (1999) no. 2-3, pp. 185-192

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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).
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).
DOI : 10.21136/MB.1999.126249
Classification : 15A60, 47A12, 47H09, 47H12, 47H17, 47H99, 47J10, 47J25, 47J99, 65F99
Mots-clés : nonlinear operator; Lipschitz continuity; spectrum; numerical range; convex hull; polynomial hull
Appell, Jürgen; Conti, G.; Santucci, P. Alcune osservazioni sul rango numerico per operatori non lineari. Mathematica Bohemica, Tome 124 (1999) no. 2-3, pp. 185-192. doi: 10.21136/MB.1999.126249
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