Abstract
The kernels of the partial-wave Lippman-Schwinger equation for potentialsV(r) satisfying certain quite weak conditions and that of the partial-wave Bethe-Salpeter equation (without Wick transformation) for two equal-mass zero-spin particles in partially symmetrized forms are shown to be compact in Hilbert space. Specifically, it is shown that these kernels define linear integral operators which belong to a class of compact linear operators in Hilbert space which are wider than those of the Hilbert-Schmidt class.
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