Alcune osservazioni sul rango numerico per operatori non lineari
Mathematica Bohemica, Tome 124 (1999) no. 2-3, pp. 185-192
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
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
Mots-clés : nonlinear operator; Lipschitz continuity; spectrum; numerical range; convex hull; polynomial hull
@article{10_21136_MB_1999_126249,
author = {Appell, J\"urgen and Conti, G. and Santucci, P.},
title = {Alcune osservazioni sul rango numerico per operatori non lineari},
journal = {Mathematica Bohemica},
pages = {185--192},
publisher = {mathdoc},
volume = {124},
number = {2-3},
year = {1999},
doi = {10.21136/MB.1999.126249},
mrnumber = {1780691},
zbl = {0940.47052},
language = {it},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.1999.126249/}
}
TY - JOUR AU - Appell, Jürgen AU - Conti, G. AU - Santucci, P. TI - Alcune osservazioni sul rango numerico per operatori non lineari JO - Mathematica Bohemica PY - 1999 SP - 185 EP - 192 VL - 124 IS - 2-3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.1999.126249/ DO - 10.21136/MB.1999.126249 LA - it ID - 10_21136_MB_1999_126249 ER -
%0 Journal Article %A Appell, Jürgen %A Conti, G. %A Santucci, P. %T Alcune osservazioni sul rango numerico per operatori non lineari %J Mathematica Bohemica %D 1999 %P 185-192 %V 124 %N 2-3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/MB.1999.126249/ %R 10.21136/MB.1999.126249 %G it %F 10_21136_MB_1999_126249
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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