Representations of Compact Linear Operators in Banach Spaces and Nonlinear Eigenvalue Problems II

DOI10.1007/978-3-7643-9994-8_2zbMath1260.47020OpenAlexW4214636800MaRDI QIDQ2909354

D. J. Harris, W. Desmond Evans, David E. Edmunds

Publication date: 30 August 2012

Published in: Spectral Theory and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-7643-9994-8_2

zbMATH Keywords

duality mappingreflexive spaceeigenvalueseigenfunctionsBanach space\(p\)-Laplaciancompact linear operatorstrictly convex spacerepresentation formula

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Degenerate elliptic equations (35J70) Linear operators defined by compactness properties (47B07) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Eigenvalue problems for linear operators (47A75) Representation theory of linear operators (47A67)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Eigenvalue distribution of compact operators
• Approximation numbers = singular values
• Eigenvalue problems for the \(p\)-Laplacian
• Inequalities for positive integral operators
• Lyusternik-Schnirelman theory and eigenvalue problems for monotone potential operators
• Sur certains espaces vectoriels topologiques
• Compact well-bounded operators
• Conditionally convergent spectral expansions
• Basis properties of eigenfunctions of the 𝑝-Laplacian
• Asymptotic behaviour of the eigenvalues of the φ—laplacian
• Representations of compact linear operators in Banach spaces and nonlinear eigenvalue problems
• Asymptotics for eigenvalues of a non-linear integral system
• Norms of Positive Operators on L p -Spaces
• A spectral analysis of compact linear operators in Banach spaces

This page was built for publication: Representations of Compact Linear Operators in Banach Spaces and Nonlinear Eigenvalue Problems II