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Volume :10 Issue : 1 1983
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On the compactness theorem of Luxemburg and Zaanen
Auther : P. SZEPTYCKI
Department of Mathematics, University of f Kansas, Lawrence, Kansas 66045, U.S .A.
ABSTRACT
The compactness criterion for integral operators (Luxemburg & Zaanen 1963) is stated in a generalized form and several known facts about compactness of integral operators are discussed from the point of view of this result. It is also shown that every integral operator from L p to L q, p > q ≥1 with positive kernel is compact.