COMPACTNESS OF CERTAIN INTEGRAL-OPERATORS

被引：17

作者：

GRAHAM, IG

SLOAN, IH

机构：

[1] School of Mathematics, University of New South Wales, Kensington, NSW 2033

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1979年 / 68卷 / 02期

关键词：

D O I：

10.1016/0022-247X(79)90138-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper develops practical methods for deciding whether a given kernel function induces a compact integral operator from certain spaces of functions, defined on a compact subset Ω of Rn, into the space of continuous functions over Ω. Necessary and sufficient conditions for compactness are introduced, and several tests for deciding if these conditions are satisfied are developed. The paper concludes with an illustration of the practical use of the theory. © 1979.

引用

页码：580 / 594

页数：15

共 10 条

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[3] Hewitt E., 1965, REAL ABSTRACT ANAL, DOI 10.1007/978-3-642-88047-6
[4] Kantorovich Leonid, 1964, Functional Analysis in Normed Spaces
[5] MAKrasnoselskii PPZabreiko, 1976, INTEGRALNYE OPERATOR
[6] USE OF COLLOCATION AS A PROJECTION METHOD FOR SOLVING LINEAR OPERATOR EQUATIONS
PHILLIPS, JL
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1972, 9 (01) : 14 - &
[7] RADON I, 1936, USP MAT NAUK, V1, P200
[8] Rudin W., 1966, REAL COMPLEX ANAL
[9] Schwartz, 1958, LINEAR OPERATORS
[10] ZABREYKO P.P., 1975, INTEGRAL EQUATIONS R

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