A numerical range for nonlinear operators in smooth Banach spaces

DOI10.4171/ZAA/709zbMath0849.47036OpenAlexW2025473022MaRDI QIDQ1915226

M. Dörfner

Publication date: 13 June 1996

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/709

zbMATH Keywords

smooth Banach spacesLipschitz operatorspectral setsJordan domainnumerical range for nonlinear operators

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical range, numerical radius (47A12) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10)

Related Items (1)

Some spectral theory for nonlinear operators

Cites Work

• Geometry of Banach spaces. Selected topics
• Contributions to the spectral theory for nonlinear operators in Banach spaces
• The closure of the numerical range contains the spectrum
• Remarks on condensing and \(k\)-set-contractive mappings
• Der numerische Wertebereich für nicht notwendig lineare Abbildungen in lokalkonvexen Räumen
• Der numerische Wertebereich und die Lösbarkeit linearer und nichtlinearer Operatorengleichungen
• The numerical range of nonlinear Banach space operators
• The numerical range of nonlinear Banach space operators
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