Order intervals of self-adjoint linear operators and nonlinear homeomorphisms

DOI10.2140/pjm.1984.115.57zbMath0509.47050OpenAlexW2139935071MaRDI QIDQ1838163

E. Norman Dancer

Publication date: 1984

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1984.115.57

zbMATH Keywords

spectral projectionsGateaux differentiable operator

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (7)

Implicit function theorems, approximate solvability of nonlinear equations, and error estimates ⋮ Nonlinear equations at resonance and generalized eigenvalue problems ⋮ Periodic solutions to nonlinear wave equations with spatially dependent coefficients ⋮ Iterative and variational methods for the solvability of some semilinear equations in Hilbert spaces ⋮ Existence and uniqueness of solutions for semilinear equations involving anti-selfadjoint operators ⋮ Homeomorphisms and Fredholm Theory for Perturbations of Nonlinear Fredholm Maps of Index Zero and of A-Proper Maps with Applications ⋮ Periodic solutions of some semilinear wave equations and systems: a survey.

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