A comparison of different spectra for nonlinear operators

DOI10.1016/S0362-546X(00)85005-1zbMath0956.47035MaRDI QIDQ1570458

Jürgen Appell, Alfonso Vignoli, Espedito De Pascale

Publication date: 7 March 2001

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

spectral radiusspectrumresolvent setresolvent operatorcontinuous operatorsLipschitz continuous operatorsmapping theorem\(k\)-epi continuousFréchet differentiable operatorsGel'fand formulalinearly bounded operators

Mathematics Subject Classification ID

Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Continuous and differentiable maps in nonlinear functional analysis (46T20) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (9)

On the Bonsall cone spectral radius and the approximate point spectrum ⋮ Nonlinear and semilinear spectrum for asymptotically linear or positively homogeneous operators ⋮ Lower spectral radius and spectral mapping theorem for suprema preserving mappings ⋮ Application of spectral methods to boundary value problems for differential equations ⋮ A duality principle corresponding to the parabolic equations ⋮ TOWARD A THEORY OF CHAOS ⋮ A finite dimensional approach to nonlinear spectral theory ⋮ A semilinear Furi-Martelli-Vignoli spectrum ⋮ Manifold method in the eigenvector theory of nonlinear operators. Transl. from the Russian

Cites Work

• A nonlinear spectral approach to surjectivity in Banach spaces
• On spectral theory for nonlinear operators
• Contributions to the spectral theory for nonlinear operators in Banach spaces
• A new spectral theory for nonlinear operators and its applications
• Existence of a spectrum for nonlinear transformations
• Punti uniti in trasformazioni a codominio non compatto
• Some spectral theory for nonlinear operators
• Der numerische Wertebereich und die Lösbarkeit linearer und nichtlinearer Operatorengleichungen
• Über mehrdeutige stetige Abbildungen
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