scientific article

zbMath0698.47019MaRDI QIDQ3996067

V. B. Korotkov

Publication date: 17 September 1992

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

kernelsIdeal spacesIdeals generated by integral operatorsmeasurable vector- functionsoperator of multiplication by a measurable functionReduction of families of operators to an integral formRegular and compact factorization of integral operatorsregular compact operatorRepresentation of arbitrary operators in \(L^ 2\) in the form of integral operatorsSystems of linear integral equations

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Integral operators (45P05) Linear operators on function spaces (general) (47B38) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (13)

Integral equations of the third kind with unbounded operators ⋮ Reducing certain operator families to integral form ⋮ On resolvents of intergral and partially integral operators ⋮ Unnamed Item ⋮ Measure-compact operators, almost compact operators, and linear functional equations in \(L_p\) ⋮ Unnamed Item ⋮ On systems of linear functional equations of the second kind in \(L_2\) ⋮ 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 \(L_2\) ⋮ On some algebra of continuous linear operators ⋮ A note on integral representations of linear operators ⋮ Pseudointegral operators in the spaces of measurable vector-valued functions

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