Almost Compactness and Decomposability of Integral Operators

DOI10.2307/2044167zbMath0464.47022OpenAlexW4238451909MaRDI QIDQ3915511

Walter Schachermayer, Lutz W. Weis

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2044167

zbMATH Keywords

integral operators

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (11)

Convolution integral operators ⋮ Ideal structure and factorization properties of the regular kernel operators ⋮ The integral representation of linear operators in \(L_ p\) ⋮ A method of solving integral equations with arbitrary kernels ⋮ Measure-compact operators, almost compact operators, and linear functional equations in \(L_p\) ⋮ Linear functional equations of the first, second, and third kind in \(L_2\) ⋮ On the similarity of linear operators in \(L_p\) to integral operators of the first and second kind ⋮ On systems of linear functional equations of the third kind in \(L_2\) ⋮ Measure compact, almost compact, and integral operators of the first, second, and third kind ⋮ On some algebra of continuous linear operators ⋮ Order-bounded operators in vector lattices and in spaces of measurable functions

Cites Work

• The Radon-Nikodym Property in Conjugate Banach Spaces. II
• Integration and Linear Operations
• Produits tensoriels topologiques et espaces nucléaires
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