Eigenvalues of integral operators. II

DOI10.1007/BF01456014zbMath0488.47025OpenAlexW1981478682MaRDI QIDQ1166092

Albrecht Pietsch

Publication date: 1983

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163710

zbMATH Keywords

integral operatorspline basesWeyl numbersdistribution of the eigenvaluesdecomposition of weighted Besov function spacesintegration and smoothness properties of the kernel

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spline approximation (41A15) Eigenvalue problems for integral equations (45C05) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (1)

Estimates for Schur multipliers and double operator integrals -- a wavelet approach

Cites Work

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• Weyl numbers and eigenvalues of operators in Banach spaces
• Eigenvalues of integral operators. I
• On the eigenvalues of (p,2)-summing operators and constants associated with normed spaces
• Some remarks on weakly singular integral operators
• Spline bases and spline representations in function spaces
• Approximation spaces
• n-ieme epaisseur dans les espaces de Sobolev
• Operator properties of Sobolev imbeddings over unbounded domains
• Spaces of Kudrjavcev type. II: Spaces of distributions: duality, interpolation
• Weak type estimates for singular values and the number of bound states of Schrödinger operators
• Eigenvalues of \(p\)-summing and \(\ell_p\)-type operators in Banach spaces
• Inclusion mappings between \(l^p\) spaces
• Spline bases in classical function spaces on compact $C^{∞}$ manifolds, Part I
• Boundary value problems for nonlinear partial differential equations in anisotropic Sobolev spaces
• Absolut-(p , 1)-summierende identische Operatoren von l _u in l _v
• The asymptotic eigenvalue distribution for non-smooth elliptic operators
• On the eigenvalue spectrum of certain operator ideals
• Constructive function theory and spline systems
• Eigenschaften Greenscher Funktionen nicht-selbstadjungierter allgemeiner elliptischer Operatoren
• Distribution of eigenvalues and the Green functions of degenerated elliptic differential operators
• Interpolation theory for function spaces of BESOV type defined in domains. II
• Über Greensche Funktionen singulärer elliptischer Differentialoperatoren
• Inequalities between the Two Kinds of Eigenvalues of a Linear Transformation

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