On some numerical ranges for nonlinear operators Some remarks on numerical ranges for nonlinear operators

Jürgen Appell; G. Conti; Paola Santucci

Mathematica Bohemica (1999)

  • Volume: 124, Issue: 2-3, page 185-192
  • ISSN: 0862-7959

Abstract

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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).

How to cite

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Appell, Jürgen, Conti, G., and Santucci, Paola. "Alcune osservazioni sul rango numerico per operatori non lineari." Mathematica Bohemica 124.2-3 (1999): 185-192. <http://eudml.org/doc/248471>.

@article{Appell1999,
author = {Appell, Jürgen, Conti, G., Santucci, Paola},
journal = {Mathematica Bohemica},
keywords = {nonlinear operator; Lipschitz continuity; spectrum; numerical range; convex hull; polynomial hull; nonlinear operator; Lipschitz continuity; spectrum; numerical range; convex hull; polynomial hull},
language = {ita},
number = {2-3},
pages = {185-192},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Alcune osservazioni sul rango numerico per operatori non lineari},
url = {http://eudml.org/doc/248471},
volume = {124},
year = {1999},
}

TY - JOUR
AU - Appell, Jürgen
AU - Conti, G.
AU - Santucci, Paola
TI - Alcune osservazioni sul rango numerico per operatori non lineari
JO - Mathematica Bohemica
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 124
IS - 2-3
SP - 185
EP - 192
LA - ita
KW - nonlinear operator; Lipschitz continuity; spectrum; numerical range; convex hull; polynomial hull; nonlinear operator; Lipschitz continuity; spectrum; numerical range; convex hull; polynomial hull
UR - http://eudml.org/doc/248471
ER -

References

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