Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
MR ZblMots-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
@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},
year = {1999},
volume = {124},
number = {2-3},
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 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 %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
[1] Appell J., De Pascale E., Vignoli A.: A comparison of different spectra for nonlinear operators. To appear. | Zbl
[2] Appell J., Dörfner M.: Some spectral theory for nonlinear operators. Nonlinear Anal., Theory Methods Appl. 28 (1997), no. 12, 1955-1976. | DOI | MR | Zbl
[3] Bonsall F. F., Duncan J.: Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras. Cambridge Univ. Press, Cambridge, 1971. | MR | Zbl
[4] Bonsall F. F., Duncan J.: Numerical Ranges II. Cambridge Univ.Press, Cambridge, 1973. | MR | Zbl
[5] Canavati J.: A theory of numerical range for nonlinear operators. J. Fund. Anal. 33 (1979), 231-258. | DOI | MR | Zbl
[6] Conti G., De Pascale E.: The numerical range in the nonlinear case. Boll. Unione Mat. Ital. 15-B (1978), 210-216. | MR | Zbl
[7] Deimling K.: Nonlinear Functional Analysis. Springer, Berlin, 1985. | MR | Zbl
[8] Diestel J.: Geometry of Banach Spaces-Selected Topics. Springer, Berlin, 1975. | MR | Zbl
[9] Dörfner M.: Beiträge zur Spektraltheorie nichtlinearer Operatoren. Ph.D. thesis, 1997.
[10] Feng W.: A new spectral theory for nonlinear operators and its applications. Abstr. Appl. Anal. 2 (1997), 163-183. | DOI | MR | Zbl
[11] Furi M., Martelli M., Vignoli A.: Contributions to the spectral theory for nonlinear operators in Banach spaces. Annali Mat. Pura Appl. 118 (1978), 229-294. | MR | Zbl
[12] Furi M., Martelli M., Vignoli A.: On the solvability of nonlinear operator equations in normed spaces. Annali Mat. Pura Appl. 128 (1980), 321-343. | MR | Zbl
[13] Gustafson K. E., Rao D. K. M.: Numerical Range. Springer, Berlin, 1997. | MR
[14] Kachurovskij R. L: Regular points, spectrum and eigenfunctions of nonlinear operators. Dokl. Akad. Nauk SSSR 188 (1969), 274-277. (In Russian, Engl.transl. Soviet Math. Dokl. 10 (1969), 1101-1105.) | MR | Zbl
[15] Lumer G.: Semi-inner product spaces. Transl. Amer. Math. Soc. 100 (1961), 29-43. | DOI | MR | Zbl
[16] Maddox I. J., Wickstead A. W.: The spectrum of uniformly Lipschitz mappings. Proc. Royal Irish Acad. 89-A (1989), 101-114. | MR | Zbl
[17] Neuberger J. W.: Existence of a spectrum for nonlinear transformations. Pacific J. Math. 31 (1969), 157-159. | DOI | MR | Zbl
[18] Pietschmann F., Rhodius A.: The numerical ranges and the smooth points of the unit sphere. Act. Sci. Math. 55 (1989), 377-379. | MR | Zbl
[19] Rhodius A.: Der numerische Wertebereich für nicht notwendig lineare Abbildungen. Math. Nachr. 72 (1976), 169-180. | DOI | MR | Zbl
[20] Rhodius A.: Der numerische Wertebereich und die Lösbarkeit linearer und nichtlinearer Gleichungen. Math. Nachr. 79 (1977), 343-360. | DOI | MR
[21] Rhodius A.: Über numerische Wertebereiche und Spektralwertabschätzungen. Acta Sci. Math. 47 (1984), 465-470. | MR | Zbl
[22] Verma R. U.: Approximation-solvability and numerical ranges in Banach spaces. Panam. Math. J. 1 (1992), 49-56. | MR
[23] Verma R. U.: The numerical range of nonlinear Banach space operators. Acta Math. Hung. 63 (1994), 305-312. | DOI | MR | Zbl
[24] Williams J. P.: Spectra of products and numerical ranges. J. Math. Anal. Appl. 11 (1967), 214-220. | DOI | MR | Zbl
[25] Zarantonello E. H.: The numerical range contains the spectrum. Pacific J. Math. 22 (1967), 575-595. | DOI | MR | Zbl
[26] Zeidler E.: Nonlinear Functional Anaiysis and its Applications II/B: Nonlinear Monotone Operators. Springer, Berlin, 1990. | MR
Cité par Sources :