On the eigenvalues of orderbounded integral operators

DOI10.1007/BF01691921zbMath0516.47003MaRDI QIDQ1052608

Hermann Koenig, Lutz W. Weis

Publication date: 1983

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

eigenvalue distributionintegral operatorcomplex interpolationbest summability indexorder complete Banach function spaceorderbounded integral operators

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Spectrum, resolvent (47A10) Linear operators on function spaces (general) (47B38) Linear operators on ordered spaces (47B60) Eigenvalue problems for integral equations (45C05) Abstract interpolation of topological vector spaces (46M35)

Related Items (1)

Composition and nuclearity of kernel operators

Cites Work

• The Carleman-Smithies theory of integral operators for reflexive Orlicz spaces
• Some applications of the complex interpolation method to Banach lattices
• Sous-espaces de dimension finie des espaces de Banach reticules
• Eigenvalues of \(p\)-summing and \(\ell_p\)-type operators in Banach spaces
• Abstract Interpolation and Operator-Valued Kernels
• Every L p Operator is an L 2 Operator
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